Paper Citation Record · LEDGER

Oriented graphs on curve complex I: hyperbolic and extremal length

As of 8 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2507.12728.

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

pith.paper-citation-record.v1
2507.12728 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:48:37.001063Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

9 of 9 outbound references displayed

verified exact2
verified fuzzy4
unresolved2
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 195f3790-6a2c-4391-b889-56d3f7b8f571 · outbound

This paper cites Simple length spectra as moduli for hyperbolic surfaces and rigidity of length identities.

Oriented graphs on curve complex I: hyperbolic and extremal length Simple length spectra as moduli for hyperbolic surfaces and rigidity of length identities

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:48:37.746660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6384a142-3692-4891-b15c-7254944ab772 · outbound

This paper cites Can one hear the shape of a drum?.

Oriented graphs on curve complex I: hyperbolic and extremal length Can one hear the shape of a drum?

Reference 8

Resolution: verified exact; doi, observed 2026-08-06T16:48:37.272414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 79acb8ff-d787-456d-8974-526bf589f063 · outbound

This paper cites Cambridge University Press, Cambridge, 1988, pp.

Oriented graphs on curve complex I: hyperbolic and extremal length Cambridge University Press, Cambridge, 1988, pp

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T16:48:36.110816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eac60bfc-ce50-4a68-b3ab-badb644d831b · outbound

This paper cites Princeton University Press, Princeton, NJ, 2012, pp.

Oriented graphs on curve complex I: hyperbolic and extremal length Princeton University Press, Princeton, NJ, 2012, pp

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:48:38.985691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 540edda4-8185-46f7-bc5d-b157fc048f03 · outbound

This paper cites Zur analytischen theorie hyperbolischer raumformen und bewegungsgruppen.

Oriented graphs on curve complex I: hyperbolic and extremal length Zur analytischen theorie hyperbolischer raumformen und bewegungsgruppen

Reference 251

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:48:38.345704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a6cf3a55-15bf-4a3e-af4f-ae8af4b34a48 · outbound

This paper cites Automorphisms of complexes of curves and of Te- ichm ¨uller spaces.

Oriented graphs on curve complex I: hyperbolic and extremal length Automorphisms of complexes of curves and of Te- ichm ¨uller spaces

Reference 1992

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:48:38.010745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ca0aaf80-30c5-4a4d-a536-849da4d0bf65 · outbound

This paper cites Boundary structure of the modular group.

Oriented graphs on curve complex I: hyperbolic and extremal length Boundary structure of the modular group

Reference 2012

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:48:38.651478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 632f77bb-7a69-4453-be43-1062aeed8cf8 · outbound

This paper cites doi: 10.1007/978-3-662-53622-3.

Oriented graphs on curve complex I: hyperbolic and extremal length doi: 10.1007/978-3-662-53622-3

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-06T16:48:36.261082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89eb4b82-516b-40c8-bce1-69cda2853e22 · outbound

This paper cites Ordering curves on surfaces.

Oriented graphs on curve complex I: hyperbolic and extremal length Ordering curves on surfaces

Reference 2025

Resolution: malformed identifier; local_arxiv, observed 2026-08-06T16:48:37.501252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.