Pith Number

pith:AAUMAHQA

pith:2008:AAUMAHQACCMBBKWGZAYD2OZR6H

not attested not anchored not stored refs pending

Knotting corks

Kouichi Yasui, Selman Akbulut

arxiv:0812.5098 v3 · 2008-12-30 · 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{AAUMAHQACCMBBKWGZAYD2OZR6H}

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	2026-05-18T02:58:10.834506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0028c01e00109810aac6c8303d3b31f1e228b4e784ebfa9d2c495f47fc4e620b

Aliases

arxiv: 0812.5098 · arxiv_version: 0812.5098v3 · doi: 10.48550/arxiv.0812.5098 · pith_short_12: AAUMAHQACCMB · pith_short_16: AAUMAHQACCMBBKWG · pith_short_8: AAUMAHQA

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/AAUMAHQACCMBBKWGZAYD2OZR6H \
  | 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: 0028c01e00109810aac6c8303d3b31f1e228b4e784ebfa9d2c495f47fc4e620b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ace1f785b3e4055c55a06fcdf066cbb983e745ed01355ae590908af243a38bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-12-30T18:58:34Z",
    "title_canon_sha256": "50d04f6ca89d0d63958899eee8492ada0238947cb52782db1a962184e3621038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.5098",
    "kind": "arxiv",
    "version": 3
  }
}