Pith Number

pith:YIJ5EP6L

pith:2022:YIJ5EP6LIQR6J4UMTEH2JQAPJE

not attested not anchored not stored refs pending

The shadow quandle cocycle invariant of knotoids

Nicholas Cazet

arxiv:2207.02330 v2 · 2022-07-05 · math.GT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIJ5EP6LIQR6J4UMTEH2JQAPJE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Zesting and the relative complexity of Reshetikhin-Turaev invariants

Receipt and verification

First computed	2026-07-05T04:38:16.356484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c213d23fcb4423e4f28c990fa4c00f49175b1a3c4cb1318cf9909f8163e975e4

Aliases

arxiv: 2207.02330 · arxiv_version: 2207.02330v2 · doi: 10.48550/arxiv.2207.02330 · pith_short_12: YIJ5EP6LIQR6 · pith_short_16: YIJ5EP6LIQR6J4UM · pith_short_8: YIJ5EP6L

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YIJ5EP6LIQR6J4UMTEH2JQAPJE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c213d23fcb4423e4f28c990fa4c00f49175b1a3c4cb1318cf9909f8163e975e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3492edf274754e482fc585be067e3be2f842bb86865191d8bc9a2e012c4425d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-07-05T21:49:14Z",
    "title_canon_sha256": "fec5f7d58c6b4f662f0a2a9d7bb403e0a76ad8b577340214dbf70a9ce39dd930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.02330",
    "kind": "arxiv",
    "version": 2
  }
}