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Paper Citation Record · LEDGER

Arrow diagrams on spherical curves and computations

As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.06085.

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

pith.paper-citation-record.v1
1908.06085 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:19:06.111970Z

measured 16 of 16 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

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d5be9169-8f86-4935-9091-8b87728e7203 · outbound

This paper cites an unresolved cited work.

Arrow diagrams on spherical curves and computations Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:19:06.327725Z

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.

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Observation 586262e9-2750-4fd6-b499-cecd9058f043 · outbound

This paper cites Bar-Natan, I.

Arrow diagrams on spherical curves and computations Bar-Natan, I

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:19:06.316341Z

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.

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Observation a0dbb689-e018-46e2-9c6a-35c54ff24c1a · outbound

This paper cites Goussarov, M.

Arrow diagrams on spherical curves and computations Goussarov, M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:19:06.304216Z

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.

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Observation e725c870-7116-4b5b-bb21-b745706e6734 · outbound

This paper cites Hagge and J.

Arrow diagrams on spherical curves and computations Hagge and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:19:06.292473Z

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.

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Observation d8efa020-d55f-4d58-94d3-71fef78a674a · outbound

This paper cites Hayano and N.

Arrow diagrams on spherical curves and computations Hayano and N

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:19:06.280867Z

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=2026-08-14T13:19:06.067994Z digest=sha256:e85b1fae1d95f337bd0894dc5eaeaa5b7f525e61cf30dc5aa6bdacbe03189158

Observation 179e46a5-0471-4dc3-943a-4e4fbad33559 · outbound

This paper cites Ito, Knot projections, CRC Press, Boca Raton, FL, 2016.

Arrow diagrams on spherical curves and computations Ito, Knot projections, CRC Press, Boca Raton, FL, 2016

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:19:06.267713Z

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=2026-08-14T13:19:06.072484Z digest=sha256:9ef15127b8e94c45fc3d566af185e813bdd37513d1db0d5f1d97c6169f6ce112

Observation de764880-28e6-4fec-bbca-707de6e3064f · outbound

This paper cites Ito, Based chord diagrams of spherical curves, Kodai M ath.

Arrow diagrams on spherical curves and computations Ito, Based chord diagrams of spherical curves, Kodai M ath

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:19:06.255320Z

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=2026-08-14T13:19:06.076091Z digest=sha256:be7a39ad33c875b3a9a6145be0ce024d4543d4b428b9c5299e54af89ecff938f

Observation 59c1de13-54ec-41f0-82a2-8c2818981fc2 · outbound

This paper cites Ito, Space of chord diagrams on spherical curves, subm itted preprint.

Arrow diagrams on spherical curves and computations Ito, Space of chord diagrams on spherical curves, subm itted preprint

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:19:06.243155Z

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=2026-08-14T13:19:06.079874Z digest=sha256:c5192c0b0a25ff297149fc7b05d1e97ad8a42f0a63e50a76679ab31df148a27e

Observation 136395d7-893e-480c-bebe-56dd04440c8a · outbound

This paper cites Ito and Y.

Arrow diagrams on spherical curves and computations Ito and Y

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:19:06.230200Z

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=2026-08-14T13:19:06.083270Z digest=sha256:342e7e85fcd6973cffa5e655b681255d5e00446a497d143c3d7e7a3fb1fc1219

Observation 52ae7385-c480-4e89-8bf9-c11cfb163ce0 · outbound

This paper cites Ito and Y.

Arrow diagrams on spherical curves and computations Ito and Y

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:19:06.218127Z

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.

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Observation 1abc2843-15d1-41f0-a443-afda36fbcd6e · outbound

This paper cites Ito and Y.

Arrow diagrams on spherical curves and computations Ito and Y

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:19:06.204872Z

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.

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Observation 3f043f16-9793-43cf-93fc-eea563135c70 · outbound

This paper cites an unresolved cited work.

Arrow diagrams on spherical curves and computations Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:19:06.191436Z

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.

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Observation c4db7b37-aa2c-4fcb-b0f9-58232f5f8646 · outbound

This paper cites an unresolved cited work.

Arrow diagrams on spherical curves and computations Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:19:06.179626Z

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=2026-08-14T13:19:06.099002Z digest=sha256:0e2d6c2430db14b66c6f1f28b3a6c5ea3d074933d0c312e5d712782fb261fb37

Observation b253d421-3b9a-4f36-a312-f9648f2bda58 · outbound

This paper cites an unresolved cited work.

Arrow diagrams on spherical curves and computations Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:19:06.168355Z

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=2026-08-14T13:19:06.103428Z digest=sha256:268d37c78f0700c32c0168feb64877603466177bf8ab41d09ef2deb3c6b9d3af

Observation 46f4a448-2677-48de-ab84-03f91cec54f9 · outbound

This paper cites Polyak, Invariants of curves and fronts via Gauss dia grams, Topology 37 (1998), 989–1009.

Arrow diagrams on spherical curves and computations Polyak, Invariants of curves and fronts via Gauss dia grams, Topology 37 (1998), 989–1009

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:19:06.157256Z

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.

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Observation bcf01f6f-7063-4bae-975f-f37f2ec92b7e · outbound

This paper cites Polyak and O.

Arrow diagrams on spherical curves and computations Polyak and O

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:19:06.143437Z

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.

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Pith citing papers

No inbound Pith citation observations are available.