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Paper Citation Record · LEDGER

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations

As of 15 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1907.00706.

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

pith.paper-citation-record.v1
1907.00706 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-25T12:09:42.383953Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d32763bd-144a-4684-81ed-bb6ed7655163 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.522238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:40fd6d918b79e194baebef12d8c648ae2cfdc8796cb1e99eb0b8e4e27c98a027

Observation 8f89015d-0c8c-4457-a002-8f5aef5403fc · outbound

This paper cites It is clear that contributions from field modes whose wavelengths are shorter compared with the thickness of the medium will be effectively suppressed.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations It is clear that contributions from field modes whose wavelengths are shorter compared with the thickness of the medium will be effectively suppressed

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T12:10:47.516090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:345aca27ed51f969757efea383de2bbee3ce2e099bf7f1c4ab79c67d84829b0d

Observation 4ee7bd32-3643-4ca5-9aa9-ea06f3584cfb · outbound

This paper cites ( 11), the relative flight time variance can be rewritten as δ2 = (χ (2) 0 )2 d2 π 2n4 P ∫ ∞ −∞ dx ∫ ∞ −∞ dx′ 1 x2 + d2 1 x′2 + d2 ⟨Ei 0(t, ⃗ x)Ej 0(t′, ⃗ x′)⟩β.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations ( 11), the relative flight time variance can be rewritten as δ2 = (χ (2) 0 )2 d2 π 2n4 P ∫ ∞ −∞ dx ∫ ∞ −∞ dx′ 1 x2 + d2 1 x′2 + d2 ⟨Ei 0(t, ⃗ x)Ej 0(t′, ⃗ x′)⟩β

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T12:10:47.470867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:37081dc99d4b263f119b23273b08e5a654d425ed43be60793b8928f6cc2fb741

Observation 1549f49a-200c-4b86-a7cb-c851e61a3219 · outbound

This paper cites Pauli, Helv.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Pauli, Helv

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T12:10:47.519280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:bd901846c0869169dedda6fcea067aba04ddc5e17c0ca65435f6c428ef3714f7

Observation 3d0a4098-a4fe-40b6-8e1e-898711ac7d18 · outbound

This paper cites Deser, Rev.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Deser, Rev

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T12:10:47.503212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:e28f8f9f9da80895faabf377b69b481658036fa4099f8af99637a09a457fbd9a

Observation 27d270e8-8cc8-4f73-b6b4-96b339c89a1f · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.448522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:f4aad2403899be16619550efc38565ba58791c0d323b4741830a31110b1d7617

Observation f22a8c72-b123-4b31-ac54-36bd448b05e9 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.495568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:19c25515d0d1d59734db0f1f2b81f2e23ba06294a0b2750017c8f0cbc2d016c3

Observation de5d7def-254a-4252-9e47-fecd5a2ee161 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.474624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:b4af594078016f6398d3efa0ce57e7eadcec2fd988d978543ead18d64e2076ff

Observation 96f44ef1-5c9d-4869-bddc-f8c9a71707f2 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.499700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:3a54027e98a1219eb8fc2a6d083eb97ced062656ef94893623c2cd4c5f9c6c98

Observation 21d8e7c1-25a9-49ed-afff-4d7fae81d234 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.461004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:aaf0b340e7c06728947be47c23f5f1bf140ca0fd5d5a9f2cafd18dfabba69f46

Observation a6d72310-a443-470a-b986-f27c442a17d2 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.488658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:9006cc6fe81779cfbb3ed756e7a05d9b5d579503d9e4a707e8e55193be4a8b90

Observation 0b377b30-04b7-40f8-bdd2-e82dabd28879 · outbound

This paper cites Yu and P.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Yu and P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T12:10:47.492336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:f3c3e20162dff2f046f1c5b710262375a0408d02ba58d7bde675efd1da0b7988

Observation 6331a294-bd81-419c-8784-60dd6012bef4 · outbound

This paper cites Yu and L.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Yu and L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T12:10:47.466569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:8c45357b95343d7c6c7b6aaf78271eadbf86370a03d4b05f6993811b00b83d0d

Observation 204c1ac3-7098-4af1-affd-90e58ff26224 · outbound

This paper cites Yu and L.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Yu and L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T12:10:47.433875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:0f1b053f62b1a4f3477cf79131ce1d457ed3c02efed9c2add706b475340d67a6

Observation c9337cf5-faac-4e86-9c38-fe760bb618ce · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.457153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:cc87ea4b527f4811b17cc0ca45ad7cd963e716f5288332f9f33b304b642ec2d2

Observation f0fcc68c-7a58-4eb6-a239-7f7f927afdb3 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.525616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:ad5d4cfad100518a8557d631c714a8ef6549734a13845cddd24e7135277041fe

Observation b9ec5d4a-ec7f-4cf6-94df-85130162531e · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.531629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:0778d532a9c03390fc182b433874e586e76fa9f742d887a30e0d4f9c176bf6a5

Observation 6267667c-cf86-4094-aa13-b27450453bd6 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.509178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:05117a205b50a139d4c089a96821f58ed58d916dcfbf8137dd02593bff6cebb8

Observation 84277017-c054-41cf-b5c8-9ceb883aabd5 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.480813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:7af3c9a48a5b4fe531afc54925398e3a7b033db2e69f6948e3042d8d440316d2

Observation 51e4e05b-9269-4cb3-a8d6-0a95f111557a · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.506267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:00b5fbad62f0fca6dbfe52ba3d643f8a5bfda8f373a077a8e3640e291d0f285e

Observation 7e799329-55e8-4427-8d1c-bce5d1d01d5f · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.453275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:4ab4fdc7e59fb49e1438aebe13360faf2dea65a98e69e55ccd322255f7de9fa3

Observation bf59b49e-8121-4e8a-ac79-b34b274a71ac · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.438974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:75fd2798a33eed2305a0b53f7ae731565d4dfe87d405f9fd78acf212962261b4

Observation b573e982-3027-472b-b20e-4b39119b23d5 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.484872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:c6b75355af88c0c54d6a49b0516e29bfd18a170518b834dc0626542f1e87420d

Observation fa9558f3-fa03-4d80-b4ac-d1e1b2eebd44 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.443977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:073131cd4767551c1f8c27d3d61c2c1105669fadc5c6103774a4edbfa29c3856

Observation 8260375b-3b91-4ae0-b89a-587784b1d2f3 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.512402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:a146c5d6bc551e27760b0647286b7a03ff93c96858589ef4f3d787a23eca5415

Observation 8a8ae1b8-ed69-47e2-a1a4-793145802338 · outbound

This paper cites an unresolved cited work.

Lightcone fluctuations in a nonlinear medium due to thermal fluctuations Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-25T12:10:47.528421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T12:09:42.383953Z digest=sha256:d7c5b140dd6ec04626074ed599566f328a72689b92030fca7ce452f940855b29

Pith citing papers

No inbound Pith citation observations are available.