Pith Number

pith:BUJC4KZU

pith:2016:BUJC4KZU2UUWCNYSBFOTCAEU36

not attested not anchored not stored refs pending

Computation of quandle 2-cocycle knot invariants without explicit 2-cocycles

Larry A. Dunning, Masahico Saito, W. Edwin Clark

arxiv:1607.04348 v2 · 2016-07-15 · 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{BUJC4KZU2UUWCNYSBFOTCAEU36}

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	2026-05-18T01:09:41.324828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d122e2b34d529613712095d310094df887cd4b18fa052670e38b5d4e5daa92e

Aliases

arxiv: 1607.04348 · arxiv_version: 1607.04348v2 · doi: 10.48550/arxiv.1607.04348 · pith_short_12: BUJC4KZU2UUW · pith_short_16: BUJC4KZU2UUWCNYS · pith_short_8: BUJC4KZU

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/BUJC4KZU2UUWCNYSBFOTCAEU36 \
  | 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: 0d122e2b34d529613712095d310094df887cd4b18fa052670e38b5d4e5daa92e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c9ea5a26455457f76d95b464b73dd6c100eafdb5c544b96da1363f8f571adff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-15T00:24:52Z",
    "title_canon_sha256": "6bb889cabaaf4d2bbc242a49104e13add53f16b60cc395466f371f5aee66946d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04348",
    "kind": "arxiv",
    "version": 2
  }
}