Pith Number

pith:4F2CR5IA

pith:2013:4F2CR5IADV3RBY6TRRUHXW5JEY

not attested not anchored not stored refs pending

Efficient Computation of the Kauffman Bracket

Gabriella Newman, Jonathan Shi, Lauren Ellenberg, Stephen Sawin

arxiv:1303.7179 v1 · 2013-03-28 · 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{4F2CR5IADV3RBY6TRRUHXW5JEY}

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	2026-05-18T03:29:38.098208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17428f5001d7710e3d38c687bdba9262d5887038ed8c839ef30ae3421713aaa

Aliases

arxiv: 1303.7179 · arxiv_version: 1303.7179v1 · doi: 10.48550/arxiv.1303.7179 · pith_short_12: 4F2CR5IADV3R · pith_short_16: 4F2CR5IADV3RBY6T · pith_short_8: 4F2CR5IA

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/4F2CR5IADV3RBY6TRRUHXW5JEY \
  | 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: e17428f5001d7710e3d38c687bdba9262d5887038ed8c839ef30ae3421713aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4baab84444f002cc5a10bb2f25609ae44f134c7413d28d3b0a7fe3b2c7e30931",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-28T17:00:19Z",
    "title_canon_sha256": "6748c17f2062bfaf7c7920e8bdf84f65bdeb53b95123d9b9e84b577e956b1966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7179",
    "kind": "arxiv",
    "version": 1
  }
}