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Paper Citation Record · LEDGER

Induced equators in flag spheres

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.08727.

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

pith.paper-citation-record.v1
1908.08727 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:47:39.067360Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy15
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0b5a4783-45bf-4d26-ba00-46ab54bd14b4 · outbound

This paper cites Upper bound theorem for odd-dimensional flag triangulations of manifolds.

Induced equators in flag spheres Upper bound theorem for odd-dimensional flag triangulations of manifolds

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.394926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:38.975698Z digest=sha256:280f70d4d7bdc629bb3ba9c00254761c5fe3de4baf8ce38e105d8645aab60750

Observation 60e8e4d6-fadc-41de-a04b-fa531f545eb6 · outbound

This paper cites Combinatorial Lefschetz theorems beyond positivity.

Induced equators in flag spheres Combinatorial Lefschetz theorems beyond positivity

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T11:47:38.980875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:47:38.980875Z digest=sha256:ba83746543494913e272ad8dc8edb3b4bd5f16d76915e77bdb01243ddd0b8d09

Observation ca85774e-7e97-4c24-90f5-ec5a50a39d37 · outbound

This paper cites gamma-vectors of edge subdivisions of the boundary of the cross polytope.

Induced equators in flag spheres gamma-vectors of edge subdivisions of the boundary of the cross polytope

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:47:39.126806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:38.985773Z digest=sha256:0eb26a68386c44b197ccad1a50e8f00aeff9b1137df2d930f4f08f9c6f2dffd6

Observation 701ffe8e-372c-4ece-877f-f737fb9af775 · outbound

This paper cites Athanasiadis.

Induced equators in flag spheres Athanasiadis

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.380968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:38.990343Z digest=sha256:fc963ca14616f09c91fbaa1bfee2bc86526d175c95570e37db350f3e544d94fc

Observation 96ff0c58-32a5-4a4b-8829-f1c81027a189 · outbound

This paper cites The Euler characteristic of a no npositively curved, piecewise Eu- clidean manifold.

Induced equators in flag spheres The Euler characteristic of a no npositively curved, piecewise Eu- clidean manifold

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.368287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:38.994944Z digest=sha256:5919ce33c6775aeeb51284abc5cc429ab05a75e798df1dc14dfc69073e252e2a

Observation 4dd4ed9b-709f-4596-b0f4-5e27c55126c2 · outbound

This paper cites an unresolved cited work.

Induced equators in flag spheres Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:47:39.355399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:38.999367Z digest=sha256:ed37666ecd763b2e601fabbdc55a37c78c5b0f974f42bac79981d001e38b450a

Observation 7be329bd-a00a-4552-bdee-52d0ce1f5e78 · outbound

This paper cites Springer-Verlag, New York, second edition, 2003.

Induced equators in flag spheres Springer-Verlag, New York, second edition, 2003

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.342405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.004081Z digest=sha256:288921b1dbbfc0021a2e40ce38f2126df6f4591724b54eb0053f70efb920877d

Observation cb11467f-2dce-4464-8c19-82fead1d061b · outbound

This paper cites Face enumeration on simplicial comp lexes.

Induced equators in flag spheres Face enumeration on simplicial comp lexes

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.328951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.008203Z digest=sha256:fcfed406b2de2a5bb00ea4d6a6f50d9cc3d004f5c20aa9fad3952b429f711580

Observation 7fb0a166-bc4c-40a0-92fa-142dfb032ece · outbound

This paper cites Bounds for entries ofγ-vectors of flag homology spheres.

Induced equators in flag spheres Bounds for entries ofγ-vectors of flag homology spheres

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.315583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.012426Z digest=sha256:e4c74d8745bd48075d7a5fa9307fab121837afa5102d252a9c41cdbb25c29d82

Observation c69cab64-8efa-4366-9951-3d98813f14a5 · outbound

This paper cites Lutz and Eran Nevo.

Induced equators in flag spheres Lutz and Eran Nevo

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.301072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.016617Z digest=sha256:46184c0912eaec0d5c060f9ac29c5fc5dd876480801e56a6d24e85710426933c

Observation 2a839fd5-c369-4c8b-8e73-b0648f6ff919 · outbound

This paper cites McMullen.

Induced equators in flag spheres McMullen

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.286601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.020725Z digest=sha256:22ee317ca3650e5867cc74e819cda7fe8c39eccc602257c97f98fc1d4a802676

Observation 822eada4-8649-4dd3-b509-0a62d03c4965 · outbound

This paper cites Domination numbers and homology.

Induced equators in flag spheres Domination numbers and homology

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.272932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.024914Z digest=sha256:a0e1e6c8abc0a16bbf04e379f824f6ed5f73673f17de746aa73b8f362a2cd1c6

Observation 6830c02e-ab59-42b2-b266-efcf0bb56024 · outbound

This paper cites Kyle Petersen.

Induced equators in flag spheres Kyle Petersen

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.258901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.029201Z digest=sha256:b231339400e1fa6d4bc5395cbf770edd214a5762ebc44f4c2534b0f0f5c41c81

Observation 85ad40bc-b3d8-46f9-b205-eebdfd7b09e1 · outbound

This paper cites Scheinerman and Daniel H.

Induced equators in flag spheres Scheinerman and Daniel H

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.245818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.033223Z digest=sha256:eb244df33723db5512118e9036bfe9caa25c7e87310fe62ead39fdde61d5ba37

Observation 219e5143-86f2-411b-96f1-bd7d560978aa · outbound

This paper cites an unresolved cited work.

Induced equators in flag spheres Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:47:39.232770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.037430Z digest=sha256:700ca39542cc62258648a39e8dee9dcf014adf2adf8873df39a60803b2322fcb

Observation 2ace2372-5c01-412d-82f1-d6761af3fcd3 · outbound

This paper cites an unresolved cited work.

Induced equators in flag spheres Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T11:47:39.041551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:47:39.041551Z digest=sha256:4529ecbb3fd51b215f9049424c9323b1cccf12eb81e7e44409c8dce26ed334a6

Observation 4b6e1ea6-33ce-4f50-a90b-fca390206149 · outbound

This paper cites g-elements, finite buildings and higher Cohen-Macaulay connectivity.

Induced equators in flag spheres g-elements, finite buildings and higher Cohen-Macaulay connectivity

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.209618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.045725Z digest=sha256:0027f3c995e89d0d32789bb94b2339bcc46a42606e4cd9e479fb18b479d5b27f

Observation 70cb869f-ce9e-4603-bd4e-dfde70e28054 · outbound

This paper cites an unresolved cited work.

Induced equators in flag spheres Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:47:39.195805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.049605Z digest=sha256:fcea58252312b6d34c8de4e7e235ac2495c898fd2f19ee9f2031f7400a076b0c

Observation 716444f5-2401-4e2c-bc62-d9721ff50c81 · outbound

This paper cites Vertex splitting in isostatic frameworks.

Induced equators in flag spheres Vertex splitting in isostatic frameworks

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.182332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.054454Z digest=sha256:b72414a433424da33213c251d6c14ba2fc6bdc18efb31a68d1143f062e69a7aa

Observation 603ec186-f935-4ce8-8c10-645a25c71327 · outbound

This paper cites The flag upper bound theorem for 3- and 5-manifo lds.

Induced equators in flag spheres The flag upper bound theorem for 3- and 5-manifo lds

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.168621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.058478Z digest=sha256:771746ffede0bd9aaa7eadb8cd26917c6f39a06bb54a54e976bce675e07867c7

Observation 3c804567-0fd7-4471-a485-58f8705f6457 · outbound

This paper cites Face enumeration on flag complexes and flag spheres.

Induced equators in flag spheres Face enumeration on flag complexes and flag spheres

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:47:39.106602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.062950Z digest=sha256:14fd8e22e3762f8fd995d678116a6282bb37ed8466725403deb210794bf52a69

Observation 7807d2b0-717d-4fa0-a5b2-27d8077b2c6e · outbound

This paper cites Ziegler.Lectures on polytopes , volume 152 of Graduate Texts in Mathematics.

Induced equators in flag spheres Ziegler.Lectures on polytopes , volume 152 of Graduate Texts in Mathematics

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.154797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:47:39.067360Z digest=sha256:892d8e0f653f6e9629cef08d3e7d89b60f3d53fff0261a1f3b76edd5150ba071

Pith citing papers

No inbound Pith citation observations are available.