Pith Number

pith:NGRVU6BZ

pith:2013:NGRVU6BZZVKDZA4ML666YFNZUK

not attested not anchored not stored refs pending

Colourings and the Alexander Polynomial

F. Miguel Dion\'isio, Lu\'is Camacho, Roger Picken

arxiv:1303.5019 v1 · 2013-03-20 · 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{NGRVU6BZZVKDZA4ML666YFNZUK}

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	2026-05-18T03:30:15.336450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69a35a7839cd543c838c5fbdec15b9a2a05e16d86cdebe6d98ae080ba893d4cf

Aliases

arxiv: 1303.5019 · arxiv_version: 1303.5019v1 · doi: 10.48550/arxiv.1303.5019 · pith_short_12: NGRVU6BZZVKD · pith_short_16: NGRVU6BZZVKDZA4M · pith_short_8: NGRVU6BZ

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/NGRVU6BZZVKDZA4ML666YFNZUK \
  | 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: 69a35a7839cd543c838c5fbdec15b9a2a05e16d86cdebe6d98ae080ba893d4cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "931d351128e80256e2413d31a3c1db7a9c3b6937475e56362a739749be8b1c3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-20T18:34:03Z",
    "title_canon_sha256": "0b090d243c33d3999bdc3275e8c41cddc27e64203741dc270b0553772e2bd213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5019",
    "kind": "arxiv",
    "version": 1
  }
}