Pith Number

pith:ZURGZZCJ

pith:2013:ZURGZZCJIMTY4FLM3IIGCL6V3W

not attested not anchored not stored refs pending

Evolution method and "differential hierarchy" of colored knot polynomials

A.Mironov, A.Morozov, An.Morozov

arxiv:1306.3197 v1 · 2013-06-13 · hep-th · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZURGZZCJIMTY4FLM3IIGCL6V3W}

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	2026-05-18T03:00:49.471553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd226ce44943278e156cda10612fd5ddbe2bbc6fce14c3933b1f285275658b6e

Aliases

arxiv: 1306.3197 · arxiv_version: 1306.3197v1 · doi: 10.48550/arxiv.1306.3197 · pith_short_12: ZURGZZCJIMTY · pith_short_16: ZURGZZCJIMTY4FLM · pith_short_8: ZURGZZCJ

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/ZURGZZCJIMTY4FLM3IIGCL6V3W \
  | 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: cd226ce44943278e156cda10612fd5ddbe2bbc6fce14c3933b1f285275658b6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af4ffe315f96b7f84035dba330414a768a1be32a20368dc5853e43d1b9d7638",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-06-13T18:59:46Z",
    "title_canon_sha256": "077cc22b06debc8b2dd4b09d8a252a7ec34dd0cfafe2cdb719f0fa2fd015ca73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3197",
    "kind": "arxiv",
    "version": 1
  }
}