Pith Number

pith:2XSHK4YP

pith:2025:2XSHK4YPUZHU22UFSIUW3HNMX2

not attested not anchored not stored refs pending

Bipartite expansion beyond biparticity

A. Anokhina, A. Morozov, E. Lanina

arxiv:2501.15467 v1 · 2025-01-26 · hep-th · math-ph · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XSHK4YPUZHU22UFSIUW3HNMX2}

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

3 papers in Pith

Khovanov complexes for bipartite links

Analogue of Goeritz matrices for computation of bipartite HOMFLY-PT polynomials

Reductions in Khovanov-Rozansky operator formalism

Receipt and verification

First computed	2026-07-05T10:46:40.876983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5e475730fa64f4d6a8592296d9dacbe9afcfac7778a2aad68aa0836e87a87d1

Aliases

arxiv: 2501.15467 · arxiv_version: 2501.15467v1 · doi: 10.48550/arxiv.2501.15467 · pith_short_12: 2XSHK4YPUZHU · pith_short_16: 2XSHK4YPUZHU22UF · pith_short_8: 2XSHK4YP

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/2XSHK4YPUZHU22UFSIUW3HNMX2 \
  | 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: d5e475730fa64f4d6a8592296d9dacbe9afcfac7778a2aad68aa0836e87a87d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e26442695c3848d86735fae38fd02cd2f839bb4bfef305fea4a35036b2efa44b",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-01-26T10:13:21Z",
    "title_canon_sha256": "8ce307debb6d4501f13e2c78fd238996f4911d2f906e285be6b8dc25973dabcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15467",
    "kind": "arxiv",
    "version": 1
  }
}