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Paper Citation Record · LEDGER

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder

As of 19 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2508.19717.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2508.19717 v1

Coverage vector

measured 44 of 44 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-05T15:39:30.015873Z

measured 44 of 44 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

44 of 44 outbound references displayed

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  • verified fuzzy1
  • unresolved25
  • parse uncertain0
  • malformed identifier1
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External citation measurements

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Outbound references

Observation 1f698317-ef5f-42ec-917c-781f9db2501b · outbound

This paper cites Complex structure of time-periodic solutions decoded in Poincar\'{e}-Lindstedt series: the cubic conformal wave equation on $\mathbb{S}^{3}$.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Complex structure of time-periodic solutions decoded in Poincar\'{e}-Lindstedt series: the cubic conformal wave equation on $\mathbb{S}^{3}$

Reference 1

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Observation 90b68723-1664-4af4-9069-abefc508bae5 · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 2

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Observation 9628d0d3-7d37-4fbb-83e3-5fd8dc2e1394 · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-05T15:39:29.849092Z digest=sha256:f90a197e9e288500529db99bf5061f9dd2b47006ffcf93bd78264601980f5246

Observation 7e416013-35cd-4e06-944a-c5341d30b7bd · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-05T15:39:29.852775Z digest=sha256:e57ec177e54b539f6a5f2571a5123e92215efe0140b7084c1f1893e8f2a7dafa

Observation cc4cccc1-16f3-44ed-a08f-72d4d116c2b4 · outbound

This paper cites A comment on AdS collapse of a scalar field in higher dimensions.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder A comment on AdS collapse of a scalar field in higher dimensions

Reference 5

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source=pdf_text observed=2026-08-05T15:39:29.856392Z digest=sha256:4177970d792539d3927c3ea423c5856a735961426acb9c8a25949fe532269386

Observation e227af8d-552b-4c8e-b4b4-debfe690ce70 · outbound

This paper cites Scalar Collapse in AdS.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Scalar Collapse in AdS

Reference 6

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source=pdf_text observed=2026-08-05T15:39:29.860401Z digest=sha256:c558c33e4f9da664c4085627f9cdd8b2dde4d4b881887ca5e1db0e93f32eef91

Observation 83ce764c-0d9e-417f-9ec9-71e14059ec26 · outbound

This paper cites Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes

Reference 7

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source=pdf_text observed=2026-08-05T15:39:29.864527Z digest=sha256:8ab623bcd436dfb99fb5f9591e5da89ac2429ef1e854a33ee85edb087e3623b1

Observation 50a4cb7c-cb27-4f56-8046-4da5113a6ffb · outbound

This paper cites The instability of anti-de Sitter space-time.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder The instability of anti-de Sitter space-time

Reference 8

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local_arxiv, observed 2026-08-05T15:39:30.401064Z

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source=pdf_text observed=2026-08-05T15:39:29.868799Z digest=sha256:1eaf6b8be16f12522a06c12aa15d431bf615f872b341d963b7dc5fba60496fec

Observation 983554e1-1ff4-4050-8ff7-cac342cb81af · outbound

This paper cites Renormalization group, secular term resummation and AdS (in)stability.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Renormalization group, secular term resummation and AdS (in)stability

Reference 9

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source=pdf_text observed=2026-08-05T15:39:29.873164Z digest=sha256:66090a1ff4045a7eb76f50c5abb59f19227a828e2e654330f18665b0be74c095

Observation 1273a6e5-15d0-4944-bbc7-16347eb998af · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 10

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Observation f505579c-758f-451b-ad36-f2c4a9073eaf · outbound

This paper cites Islands of stability and recurrence times in AdS.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Islands of stability and recurrence times in AdS

Reference 11

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Observation c8a19427-9667-4d31-906c-bd1434945730 · outbound

This paper cites Resonant dynamics and the instability of anti-de Sitter spacetime.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Resonant dynamics and the instability of anti-de Sitter spacetime

Reference 12

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source=pdf_text observed=2026-08-05T15:39:29.885030Z digest=sha256:ca0cc18e38f04f2733cf4560d8982d321f0e81c98edd1634d60c0c44b40184f2

Observation 665e6bdd-7da7-4341-b458-9dd44aef29f4 · outbound

This paper cites A proof of the instability of AdS for the Einstein--massless Vlasov system.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder A proof of the instability of AdS for the Einstein--massless Vlasov system

Reference 13

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local_arxiv, observed 2026-08-05T15:39:30.347637Z

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source=pdf_text observed=2026-08-05T15:39:29.889612Z digest=sha256:58662f9ad957c83f100364c733ddfadb9a3e5b1b49290b8870f0df37f52b9ef7

Observation b9668166-ec19-4598-a267-7312ecfcbeb8 · outbound

This paper cites Time-periodic solutions in Einstein AdS - massless scalar field system.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Time-periodic solutions in Einstein AdS - massless scalar field system

Reference 14

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source=pdf_text observed=2026-08-05T15:39:29.893628Z digest=sha256:6c4eb211f60b8fd207021cd0a3376ed70e6f5087df1adf242190ef23bd15c854

Observation ea37297e-8100-4373-ae58-2ceccd24db53 · outbound

This paper cites thesis Jagiellonian University.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder thesis Jagiellonian University

Reference 15

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Observation 05b4ce7a-7359-48fb-8c45-5a37b95fb111 · outbound

This paper cites Time-periodic solutions of massive scalar fields in AdS background: perturbative constructions.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Time-periodic solutions of massive scalar fields in AdS background: perturbative constructions

Reference 16

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local_arxiv, observed 2026-08-05T15:39:30.320746Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f8931c81-c65b-43eb-9bc4-b85aa47c8076 · outbound

This paper cites Scalar field breathers on anti-de Sitter background.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Scalar field breathers on anti-de Sitter background

Reference 17

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local_arxiv, observed 2026-08-05T15:39:30.302355Z

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Observation a97c204f-24ae-4df4-9912-e46053ea582b · outbound

This paper cites Self-gravitating scalar breathers with negative cosmological constant.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Self-gravitating scalar breathers with negative cosmological constant

Reference 18

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source=pdf_text observed=2026-08-05T15:39:29.910149Z digest=sha256:ecef7098dc2b7a79111ed97f328884a40eed443911dc535142bb4f4ba21f5f1a

Observation b2015363-051e-4de9-b2b6-f15428c272db · outbound

This paper cites Boson Stars in AdS.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Boson Stars in AdS

Reference 19

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no resolver link, observed 2026-08-05T15:39:29.913634Z

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source=pdf_text observed=2026-08-05T15:39:29.913634Z digest=sha256:059df392c0313f3c85b13e6479d842d7e6ab8dbfe952f4ccd1cbe50889292114

Observation cc9e03d9-f854-4e1f-a757-38c55a1e6ec1 · outbound

This paper cites Gravitational Turbulent Instability of Anti-de Sitter Space.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Gravitational Turbulent Instability of Anti-de Sitter Space

Reference 20

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unresolved
no resolver link, observed 2026-08-05T15:39:29.917402Z

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source=pdf_text observed=2026-08-05T15:39:29.917402Z digest=sha256:7bfdf8ce201aa0648775ddb5188c2ea4d09d9d7f20986ecf42f1c631bb4463fb

Observation 92f35ef4-e8c6-4700-aa70-565e5b2598f9 · outbound

This paper cites Geons and the Instability of Anti-de Sitter Spacetime.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Geons and the Instability of Anti-de Sitter Spacetime

Reference 21

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source=pdf_text observed=2026-08-05T15:39:29.921320Z digest=sha256:b03681c6b0d71c965c7ae634e5bf6e71be4ff6e861dcaf15efc92b9d0ff5a4de

Observation c7d73114-74c0-4511-bad5-b9f2b5d82fd6 · outbound

This paper cites AdS nonlinear instability: breaking spherical and axial symmetries.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder AdS nonlinear instability: breaking spherical and axial symmetries

Reference 22

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local_arxiv, observed 2026-08-05T15:39:30.239809Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 6d58cd6b-30b9-4aa2-b365-5f21ca2217c3 · outbound

This paper cites AdS nonlinear instability: moving beyond spherical symmetry.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder AdS nonlinear instability: moving beyond spherical symmetry

Reference 23

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source=pdf_text observed=2026-08-05T15:39:29.928933Z digest=sha256:07290e8bae5b806739d78003235e9b1d9f855a91984bd9a7009926ea271b860f

Observation 639be473-d453-4136-9e73-424f68ddfc82 · outbound

This paper cites Anti-de Sitter geon families.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Anti-de Sitter geon families

Reference 24

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local_arxiv, observed 2026-08-05T15:39:30.213701Z

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Observation 97ddf27f-9d5f-4eed-be83-0271fb419823 · outbound

This paper cites Gravitational geons in asymptotically anti-de Sitter spacetimes.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Gravitational geons in asymptotically anti-de Sitter spacetimes

Reference 25

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local_arxiv, observed 2026-08-05T15:39:30.198825Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:29.937088Z digest=sha256:af6ff143491abd5466fac8dd561d772b54fb6d62673ffdc2fa61e743dd19c342

Observation 340f610a-ca64-4d36-923a-1032a166aa21 · outbound

This paper cites Floquet Scalar Dynamics in Global AdS.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Floquet Scalar Dynamics in Global AdS

Reference 26

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local_arxiv, observed 2026-08-05T15:39:30.184352Z

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Observation d59ea3d2-a649-44e6-94a5-8845b0a0359c · outbound

This paper cites Periodic Solutions for the 1d Cubic Wave Equation with Dirichlet Boundary Conditions.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Periodic Solutions for the 1d Cubic Wave Equation with Dirichlet Boundary Conditions

Reference 27

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local_arxiv, observed 2026-08-05T15:39:30.168397Z

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source=pdf_text observed=2026-08-05T15:39:29.945770Z digest=sha256:b76fac2ba33d65b267862cd6afcbb66e21e538d67de4b5d2b28e165fd2ed8d51

Observation 7e6b0a81-1a21-4d97-84fd-ab79950a51c4 · outbound

This paper cites Trees, trunks, and branches -- bifurcation structure of time-periodic solutions to $u_{tt}-u_{xx}\pm u^{3}=0$.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Trees, trunks, and branches -- bifurcation structure of time-periodic solutions to $u_{tt}-u_{xx}\pm u^{3}=0$

Reference 28

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local_arxiv, observed 2026-08-05T15:39:30.152491Z

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Observation 07e23fe3-4172-42f4-ba1a-9da269c7634a · outbound

This paper cites New class of time-periodic solutions to the 1D cubic wave equation.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder New class of time-periodic solutions to the 1D cubic wave equation

Reference 29

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local_arxiv, observed 2026-08-05T15:39:30.134417Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:29.954197Z digest=sha256:9063beeaaad7ea2d874eac47f9113e5ca2160f691fb7a1c5981758d07aa7ab95

Observation 77b2cb51-c6f3-49d3-b9be-d7c732793dd6 · outbound

This paper cites Conformal flow on $S^3$ and weak field integrability in AdS$_4$.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Conformal flow on $S^3$ and weak field integrability in AdS$_4$

Reference 30

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source=pdf_text observed=2026-08-05T15:39:29.958245Z digest=sha256:bbc05554bdbde03c873dbaf07713477d3222e7e831c819b7b2616fa888a00ce9

Observation ec47bd02-16fb-420d-9f32-9659b9a60fe6 · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 31

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation ccf4538d-e8df-40a9-a841-0d801a3f6dd9 · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 32

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0f5b556f-3cf1-4258-ada6-9c9b936771b9 · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 33

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unresolved
raw_fallback, observed 2026-08-05T15:39:30.541377Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3d9afa83-29cf-4859-9dcb-c8f5af6f91d3 · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 34

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unresolved
raw_fallback, observed 2026-08-05T15:39:30.531004Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:29.974250Z digest=sha256:1dce47a375b6acf09bde82d81929c81054f98c682d793c60f4e7acee679414ba

Observation 54c6a0f7-242c-4474-8e7b-874e3ec8895f · outbound

This paper cites Time periodic solutions of completely resonant Klein-Gordon equations on $\mathbb{S}^3$.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Time periodic solutions of completely resonant Klein-Gordon equations on $\mathbb{S}^3$

Reference 35

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local_arxiv, observed 2026-08-05T15:39:30.106757Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:29.978835Z digest=sha256:c16bebd587f686b607d59506874fa929ad1dada0039513dfba0f247bdccc9617

Observation f0077217-c14a-4b26-92a1-3b66388bbcf7 · outbound

This paper cites Massive Cantor families of periodic solutions of resonant Klein-Gordon equation on $\mathbb{S}^3$.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Massive Cantor families of periodic solutions of resonant Klein-Gordon equation on $\mathbb{S}^3$

Reference 36

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local_arxiv, observed 2026-08-05T15:39:30.091168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:29.983014Z digest=sha256:53f3358ead13d1d76276a1bd3aaa6ff113299a54553a01e27984ef520f90b1be

Observation 0a102ed0-1ad6-4191-8a32-f06c0e4d2c8b · outbound

This paper cites Non-linear periodic waves on the Einstein cylinder.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Non-linear periodic waves on the Einstein cylinder

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-05T15:39:30.073822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:29.987505Z digest=sha256:20cf3940a4ffd759557bf67d76b41f6c5388926d7b921f9f97c5b45fb51043f0

Observation 220ff3d2-aaaf-4797-b30d-9bd2173e2e13 · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:39:30.519103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:29.991607Z digest=sha256:d1411409c89fb319f4484769cda4981b879a66fdf4873e4b0b2d2827722d7f3b

Observation 3b57bb74-8749-40f3-816e-652a3614872d · outbound

This paper cites Periodic solutions of nonlinear wave equations with general nonlinearities.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Periodic solutions of nonlinear wave equations with general nonlinearities

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-05T15:39:30.055308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:29.995388Z digest=sha256:5fcee271810d9a70ba1fb361144e879e5d6b67bf4ce1120e4f7df18ecaa8abfe

Observation d1736671-6cb8-462e-9929-cbe04cd0c66e · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:39:30.508399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:29.999352Z digest=sha256:46764443364484d53f6c17f43342a06962d4b9bbda4f5d6c247ff389eecebb10

Observation 6070391b-6f1a-4a9c-a564-c203891c474c · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:39:30.496747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:30.003271Z digest=sha256:da8c8160dec80e8ac8f8c5125607cfd9fc98d218e834c9984611add733f277c5

Observation a38d6a3f-2e62-4d51-b452-0fbcea7aec53 · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:39:30.485828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:30.008075Z digest=sha256:67677c055da0648b20ae3864a5660f0a5fd91ec4b85df364ea72adb8ffa75221

Observation 3ddf6d5c-c222-4628-b9e1-4a85876762ce · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:39:30.473772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:30.012282Z digest=sha256:3ec221f16314fe3cad1588b4c2df4bda7407fbf61919524f53523c33d6c0cb62

Observation 2ca179dc-4a4f-458d-8c5c-bf8214b07e40 · outbound

This paper cites an unresolved cited work.

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:39:30.460511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T15:39:30.015873Z digest=sha256:536c57a153f4ffd7c545576272097feab618efa17eb0f306a66c638656f4e8c0

Pith citing papers

No inbound Pith citation observations are available.