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Paper Citation Record · LEDGER

A sharp threshold phenomenon in string graphs

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1908.05550.

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

pith.paper-citation-record.v1
1908.05550 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:23:40.234278Z

measured 20 of 20 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

20 of 20 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved10
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a7858f6d-ea22-414e-aea0-d796bec177b8 · outbound

This paper cites Benzer, On the topology of the genetic fine structure, Proc.

A sharp threshold phenomenon in string graphs Benzer, On the topology of the genetic fine structure, Proc

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:41.445194Z

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=2026-08-14T13:23:39.771396Z digest=sha256:c4c1a354b0fab6573b46f61c67a8277c0e64fa0222695265bbdd7b1a0683eb10

Observation c6c5d9c8-ae1d-4846-90a7-2143358e4159 · outbound

This paper cites Pure pairs. II. Excluding all subdivisions of a graph.

A sharp threshold phenomenon in string graphs Pure pairs. II. Excluding all subdivisions of a graph

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:23:40.356415Z

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=2026-08-14T13:23:39.866868Z digest=sha256:a9801d712f4b94fbe7ce110a5adbf0dfad87a1e7c2bb72f9f5304ecc45af696c

Observation f3fb44eb-7aec-444d-be74-c7938e14377c · outbound

This paper cites Fox, A bipartite analogue of Dilworth’s theorem, Order 23 (2006): 197–209.

A sharp threshold phenomenon in string graphs Fox, A bipartite analogue of Dilworth’s theorem, Order 23 (2006): 197–209

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:41.367158Z

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=2026-08-14T13:23:39.872990Z digest=sha256:18ef00905c38e61a18d111b01b070b7c9f3d774144ccc66d45d13d1584fd1cd0

Observation f4e4ce03-65fa-446a-9188-4064763b7a0e · outbound

This paper cites an unresolved cited work.

A sharp threshold phenomenon in string graphs Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:41.354701Z

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=2026-08-14T13:23:39.877079Z digest=sha256:b0bcebf45733d7bc02d7d85d53d98b5e84601c255945ff68a414eeed8d4a10fd

Observation 1e113d6f-cd4c-4a3b-b462-7034f1e90597 · outbound

This paper cites an unresolved cited work.

A sharp threshold phenomenon in string graphs Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:41.341216Z

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=2026-08-14T13:23:39.881369Z digest=sha256:d73418d8e1956f5c98849c2d6195fe947f65b9096847423fcd3d62f4641529ee

Observation 2a8e6a8d-34ca-4b2e-a6c3-185d3fd1c8b2 · outbound

This paper cites an unresolved cited work.

A sharp threshold phenomenon in string graphs Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:41.326284Z

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=2026-08-14T13:23:39.885841Z digest=sha256:5ac776b5a6262ceb3e42fd200ab87e29f92b06761337910c6daee5b9022aa684

Observation ded7f6be-df57-4ec0-96fe-766a59aefb5e · outbound

This paper cites an unresolved cited work.

A sharp threshold phenomenon in string graphs Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:41.247486Z

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=2026-08-14T13:23:39.890950Z digest=sha256:5ff59fb0c5ff5e09bfb797006d134d10d6051dfdba0200c6331059cdbf763d09

Observation dc51b88a-cb6b-468f-84be-291f10a8d0f0 · outbound

This paper cites an unresolved cited work.

A sharp threshold phenomenon in string graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:41.204691Z

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=2026-08-14T13:23:39.895403Z digest=sha256:f7b062e2234a8c98436f622328c4cf517fb93c99a86d1cf488a44161f012cf3e

Observation af2551ab-27d1-439b-9ca4-8d176c1f602e · outbound

This paper cites an unresolved cited work.

A sharp threshold phenomenon in string graphs Unresolved cited work

Reference 9

Resolution
malformed identifier
raw_fallback, observed 2026-08-14T13:23:41.191875Z

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=2026-08-14T13:23:39.899965Z digest=sha256:10b967a82d558fb29a3d1dd623e6d29122f417cb250fbbb60380accf60e5f9c8

Observation cce07fe8-8929-4467-a2be-1be195bcb723 · outbound

This paper cites an unresolved cited work.

A sharp threshold phenomenon in string graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:41.179554Z

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=2026-08-14T13:23:39.903899Z digest=sha256:76e1685df6399908745515c4327805671bcd89ad964aed84547fea30cbccc109

Observation fb4cab5f-9965-4e01-b4fd-e04aa92dc6bc · outbound

This paper cites Lipton, R.

A sharp threshold phenomenon in string graphs Lipton, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:41.167910Z

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=2026-08-14T13:23:40.047295Z digest=sha256:e7dfa53b31d29bfe894817dbc40b65930a8694beb98709ab44fa74fd4fa7cf2a

Observation 1272327b-3431-4df0-a172-952bfa9c38c5 · outbound

This paper cites Matouˇ sek,Near-optimal separators in string graphs, Combinatorics, Probability & Computing 23 (1) (2014): 135–139.

A sharp threshold phenomenon in string graphs Matouˇ sek,Near-optimal separators in string graphs, Combinatorics, Probability & Computing 23 (1) (2014): 135–139

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:41.034828Z

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=2026-08-14T13:23:40.142685Z digest=sha256:0e27c5cef37dc583378f7e26ca5254029d96e14160b520834bc71931a8025f45

Observation 0b562190-4f7b-4bc4-a1a6-4ca6102e9a0b · outbound

This paper cites an unresolved cited work.

A sharp threshold phenomenon in string graphs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:40.978012Z

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=2026-08-14T13:23:40.147053Z digest=sha256:a92997eecc11834f247bf17b7aaaac6cef29c1c0b89720221dfbd379f4c301dd

Observation 1c1c2797-2a0a-4b26-8502-e1ffc7248b22 · outbound

This paper cites an unresolved cited work.

A sharp threshold phenomenon in string graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:40.965844Z

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=2026-08-14T13:23:40.150787Z digest=sha256:39f64a618c4657a41731aff1b0e3abd1b56cc1c7de316be9a620481d53679b5d

Observation 6fe9df3a-d4e8-4d02-bf9c-99168a4edb88 · outbound

This paper cites an unresolved cited work.

A sharp threshold phenomenon in string graphs Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:40.953743Z

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=2026-08-14T13:23:40.154878Z digest=sha256:3382f384ebfa03d3ba61bda212fc0a4db8013c10cabdb840c40b3ffe9eafb415

Observation acb45314-977f-42a8-b44e-ebc990cb7cfe · outbound

This paper cites Schaefer, D.

A sharp threshold phenomenon in string graphs Schaefer, D

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:40.940115Z

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=2026-08-14T13:23:40.158859Z digest=sha256:716078356fddb1fbd942c5fa51cc6b3ec02a7d7efd4cd3cdc559b7f50641b68c

Observation 6bd87ae3-825b-4e0b-ae9c-512729347c9b · outbound

This paper cites an unresolved cited work.

A sharp threshold phenomenon in string graphs Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:40.813189Z

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=2026-08-14T13:23:40.163599Z digest=sha256:0d6ad4517cbb4c57eb5d1b409d57a0d0858e0bb3cbcdca6f82eb62750b44125a

Observation 221f6046-37b6-4ee3-aa3f-ccd44fce4788 · outbound

This paper cites Szemer´ edi,Regular partitions of graphs, in Proc.

A sharp threshold phenomenon in string graphs Szemer´ edi,Regular partitions of graphs, in Proc

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:40.542924Z

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=2026-08-14T13:23:40.168399Z digest=sha256:6b927b184229a202a619a5d782881521952eee9f94b36895ca906a1e901c5d60

Observation 75a3c6d9-dcd0-4fea-8a87-4c109a2b5727 · outbound

This paper cites Tur´ an,On an extremal problem in graph theory, Matematikai ´ es Fizikai Lapok (in Hungarian) 48 (1941): 436–452.

A sharp threshold phenomenon in string graphs Tur´ an,On an extremal problem in graph theory, Matematikai ´ es Fizikai Lapok (in Hungarian) 48 (1941): 436–452

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:40.458591Z

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=2026-08-14T13:23:40.229716Z digest=sha256:38dd859ec6869a8fd569d82bb9a2d363cb148b69941017c63a349fde03926d38

Observation 4f483322-45c8-4eda-9631-db57dff5fcb1 · outbound

This paper cites If c1c2 is not an edge, then there are at least three edges between c1 and C, so there are two consecutive vertices of C joined to c1.

A sharp threshold phenomenon in string graphs If c1c2 is not an edge, then there are at least three edges between c1 and C, so there are two consecutive vertices of C joined to c1

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:40.444359Z

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=2026-08-14T13:23:40.234278Z digest=sha256:1b9e94a279256eda993701e614fa9845f8b6edfce427df6eafd49a99bd491962

Pith citing papers

No inbound Pith citation observations are available.