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Paper Citation Record · LEDGER

Ordering curves on surfaces

As of 8 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2506.06481.

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

pith.paper-citation-record.v1
2506.06481 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:07:41.714041Z

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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T16:48:37.404610Z

Reference resolution

8 of 8 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2bf155b9-6437-46c3-ab8e-6891611939ae · outbound

This paper cites Baribaud.

Ordering curves on surfaces Baribaud

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:07:41.779341Z

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.

source=pdf_text observed=2026-08-07T06:07:41.696762Z digest=sha256:0925ca2e1506f6fc3cde8158adcda667bcc101b2f72069f7f2952172ed54fee0

Observation 72a402b8-d421-4833-a1de-dc02f04281d4 · outbound

This paper cites Relations between word length, hyperbolic length and self-intersection number of curves on surfaces.

Ordering curves on surfaces Relations between word length, hyperbolic length and self-intersection number of curves on surfaces

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:07:41.773623Z

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.

source=pdf_text observed=2026-08-07T06:07:41.699727Z digest=sha256:d5c5a39ff3ad2fa5ae6d0b6d9a121ec0744f78fcd3ceda7b0ebefdaf700d2ed5

Observation 9330a8af-24c7-4990-ad61-ca739047df3e · outbound

This paper cites Computing the geometric intersection number of curves.

Ordering curves on surfaces Computing the geometric intersection number of curves

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:07:41.767124Z

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.

source=pdf_text observed=2026-08-07T06:07:41.702006Z digest=sha256:050a8c0cfde65e9554a6d10040264c4921dfcf02d0e1aeb1c62d66ef311e7c68

Observation 993d730d-8cba-4fd5-9b29-c5ea7deb6a19 · outbound

This paper cites Notiz über die Discontinuität gewisser Collineationsgruppen.

Ordering curves on surfaces Notiz über die Discontinuität gewisser Collineationsgruppen

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:07:41.760709Z

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.

source=pdf_text observed=2026-08-07T06:07:41.704269Z digest=sha256:7c46558065606645984779be359d794ef093183ea2ed87da5ff49d70ff0ebd07

Observation 5bca4590-3d07-4e90-87cb-9d3dc98805e3 · outbound

This paper cites an unresolved cited work.

Ordering curves on surfaces Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T06:07:41.754590Z

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.

source=pdf_text observed=2026-08-07T06:07:41.706420Z digest=sha256:945f574eccb84407def71379e25875a643294cb394f9f4353e2936fb0563ea33

Observation d3876d07-a4e6-4003-9b09-6a1dde7cbea1 · outbound

This paper cites Multiplicities of simple closed geodesics and hypersur- faces in Teichmüller space.

Ordering curves on surfaces Multiplicities of simple closed geodesics and hypersur- faces in Teichmüller space

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:07:41.748477Z

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.

source=pdf_text observed=2026-08-07T06:07:41.708472Z digest=sha256:be2faadbd71a7351582598992b7fc4536eee36a48ad57e496b1e1ba32cbf4a68

Observation 2d993a95-8396-4747-8ace-880336476b4c · outbound

This paper cites Short closed geodesics on cusped hyperbolic surfaces.Pacific J.

Ordering curves on surfaces Short closed geodesics on cusped hyperbolic surfaces.Pacific J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:07:41.741697Z

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.

source=pdf_text observed=2026-08-07T06:07:41.711788Z digest=sha256:90b623b58f88667f9c46f7582fe87fecb6433cd67d5fd56a6d0a291ae479dddc

Observation 372cdca0-1aa5-4ff8-955a-e3fbfa0b2bcb · outbound

This paper cites an unresolved cited work.

Ordering curves on surfaces Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T06:07:41.733587Z

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.

source=pdf_text observed=2026-08-07T06:07:41.714041Z digest=sha256:aa9be2fa82cb5e2f8eab73427dbcab563a93c5acd2847529f70252a2016336a2

Pith citing papers

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

Oriented graphs on curve complex I: hyperbolic and extremal length cites this paper.

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.

source=pdf_text observed=2026-08-06T16:48:37.001063Z digest=sha256:4c95ee739aa196cf01c7269c2b1413ad4a04ad8fde3309c3080b31571011462f