Pith Number

pith:GYWCQTPT

pith:2025:GYWCQTPTOCNWL2MCVYEQMF2VTQ

not attested not anchored not stored refs pending

2-dimensional self-distributive non-counital bialgebras and knot invariants

Alexander S. Panasenko, Dmitry V. Talalaev, Tatiana A. Kozlovskaya, Valeriy G. Bardakov

arxiv:2502.16875 v1 · 2025-02-24 · math.QA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYWCQTPTOCNWL2MCVYEQMF2VTQ}

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.

Receipt and verification

First computed	2026-07-05T10:19:01.562020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

362c284df3709b65e982ae090617559c3d94cb2f6bc9ada521331fba77aaae7f

Aliases

arxiv: 2502.16875 · arxiv_version: 2502.16875v1 · doi: 10.48550/arxiv.2502.16875 · pith_short_12: GYWCQTPTOCNW · pith_short_16: GYWCQTPTOCNWL2MC · pith_short_8: GYWCQTPT

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/GYWCQTPTOCNWL2MCVYEQMF2VTQ \
  | 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: 362c284df3709b65e982ae090617559c3d94cb2f6bc9ada521331fba77aaae7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6693d3ea17bb91513c07cb14c347fd2be97b289a24497e2441f518cc0cfc5934",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-02-24T06:25:01Z",
    "title_canon_sha256": "15c0b127fa68fc74643375e12b302f0d022bbf0339d7ff5473d6b1b933ff8bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.16875",
    "kind": "arxiv",
    "version": 1
  }
}