Pith Number

pith:PRGBRND2

pith:2004:PRGBRND2DM6I4HXAUMQTCXZ6I2

not attested not anchored not stored refs pending

A categorification of the skein module of tangles

Adam S. Sikora, Jozef H. Przytycki, Marta M. Asaeda

arxiv:math/0410238 v2 · 2004-10-09 · math.QA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRGBRND2DM6I4HXAUMQTCXZ6I2}

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	2026-05-18T02:03:27.070625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4c18b47a1b3c8e1ee0a321315f3e469bf7fba9efc7ce5985f6fc2595854f90

Aliases

arxiv: math/0410238 · arxiv_version: math/0410238v2 · doi: 10.48550/arxiv.math/0410238 · pith_short_12: PRGBRND2DM6I · pith_short_16: PRGBRND2DM6I4HXA · pith_short_8: PRGBRND2

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/PRGBRND2DM6I4HXAUMQTCXZ6I2 \
  | 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: 7c4c18b47a1b3c8e1ee0a321315f3e469bf7fba9efc7ce5985f6fc2595854f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68170850fbe224b950434585a02940d80a8e4c63e6e56b438ed34b8d0ee56984",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-10-09T04:35:08Z",
    "title_canon_sha256": "e08d43aefc1f84f9af58da231f0e251e1ada282a560b894d3fed160f486bf349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410238",
    "kind": "arxiv",
    "version": 2
  }
}