Pith Number

pith:HU65NDJP

pith:2014:HU65NDJPLQ2D4E76PAFITK4AXQ

not attested not anchored not stored refs pending

Multi-crossing Number for Knots and the Kauffman Bracket Polynomial

Ashley Weber, Colin Adams, Daniel Irvine, Daniel Vitek, Jesse Freeman, Orsola Capovilla-Searle, Samantha Petti, Sicong Zhang

arxiv:1407.4485 v1 · 2014-07-16 · 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{HU65NDJPLQ2D4E76PAFITK4AXQ}

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	2026-05-18T02:47:23.849485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d3dd68d2f5c343e13fe780a89ab80bc26a47b255827ea46aefd345e213bcb2a

Aliases

arxiv: 1407.4485 · arxiv_version: 1407.4485v1 · doi: 10.48550/arxiv.1407.4485 · pith_short_12: HU65NDJPLQ2D · pith_short_16: HU65NDJPLQ2D4E76 · pith_short_8: HU65NDJP

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/HU65NDJPLQ2D4E76PAFITK4AXQ \
  | 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: 3d3dd68d2f5c343e13fe780a89ab80bc26a47b255827ea46aefd345e213bcb2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a74198545dd916ade8af7c1e8623f4658b70a49da3e60c51c26f034f220ec8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-07-16T20:17:56Z",
    "title_canon_sha256": "dcc2de9996ac941a264cbe426469fc2733311d568d90c2bc534ad104541ab5a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4485",
    "kind": "arxiv",
    "version": 1
  }
}