Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:19:06.111970Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:19:06.111970Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
16 of 16 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d5be9169-8f86-4935-9091-8b87728e7203 · outbound
Arrow diagrams on spherical curves and computations Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 586262e9-2750-4fd6-b499-cecd9058f043 · outbound
Arrow diagrams on spherical curves and computations Bar-Natan, I
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a0dbb689-e018-46e2-9c6a-35c54ff24c1a · outbound
Arrow diagrams on spherical curves and computations Goussarov, M
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e725c870-7116-4b5b-bb21-b745706e6734 · outbound
Arrow diagrams on spherical curves and computations Hagge and J
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d8efa020-d55f-4d58-94d3-71fef78a674a · outbound
Arrow diagrams on spherical curves and computations Hayano and N
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 179e46a5-0471-4dc3-943a-4e4fbad33559 · outbound
Arrow diagrams on spherical curves and computations Ito, Knot projections, CRC Press, Boca Raton, FL, 2016
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation de764880-28e6-4fec-bbca-707de6e3064f · outbound
Arrow diagrams on spherical curves and computations Ito, Based chord diagrams of spherical curves, Kodai M ath
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 59c1de13-54ec-41f0-82a2-8c2818981fc2 · outbound
Arrow diagrams on spherical curves and computations Ito, Space of chord diagrams on spherical curves, subm itted preprint
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 136395d7-893e-480c-bebe-56dd04440c8a · outbound
Arrow diagrams on spherical curves and computations Ito and Y
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 52ae7385-c480-4e89-8bf9-c11cfb163ce0 · outbound
Arrow diagrams on spherical curves and computations Ito and Y
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1abc2843-15d1-41f0-a443-afda36fbcd6e · outbound
Arrow diagrams on spherical curves and computations Ito and Y
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3f043f16-9793-43cf-93fc-eea563135c70 · outbound
Arrow diagrams on spherical curves and computations Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c4db7b37-aa2c-4fcb-b0f9-58232f5f8646 · outbound
Arrow diagrams on spherical curves and computations Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b253d421-3b9a-4f36-a312-f9648f2bda58 · outbound
Arrow diagrams on spherical curves and computations Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 46f4a448-2677-48de-ab84-03f91cec54f9 · outbound
Arrow diagrams on spherical curves and computations Polyak, Invariants of curves and fronts via Gauss dia grams, Topology 37 (1998), 989–1009
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bcf01f6f-7063-4bae-975f-f37f2ec92b7e · outbound
Arrow diagrams on spherical curves and computations Polyak and O
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
No inbound Pith citation observations are available.