Pith Number

pith:ODHUN6LB

pith:1997:ODHUN6LBATYCIMKWNHOJB4Z2SQ

not attested not anchored not stored refs pending

Conjectured enumeration of Vassiliev invariants

D. J. Broadhurst

arxiv:q-alg/9709031 v1 · 1997-09-20 · q-alg · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODHUN6LBATYCIMKWNHOJB4Z2SQ}

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.

Cited by

1 paper in Pith

The 11-loop graph cohomology

Receipt and verification

First computed	2026-07-04T15:09:11.921174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70cf46f96104f024315669dc90f33a9410f3f2f90dba11e1e9a5c350d7a91064

Aliases

arxiv: q-alg/9709031 · arxiv_version: q-alg/9709031v1 · doi: 10.48550/arxiv.q-alg/9709031 · pith_short_12: ODHUN6LBATYC · pith_short_16: ODHUN6LBATYCIMKW · pith_short_8: ODHUN6LB

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/ODHUN6LBATYCIMKWNHOJB4Z2SQ \
  | 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: 70cf46f96104f024315669dc90f33a9410f3f2f90dba11e1e9a5c350d7a91064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc2c1d4792dc37220ccb9a5a29e0bcfdbfe1abd20177b07badd280d505d6ad4",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1997-09-20T05:22:34Z",
    "title_canon_sha256": "a8aaf102802808d9d8ec83cdee748887c4aed7998e3a82e756c14cfdfa376f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9709031",
    "kind": "arxiv",
    "version": 1
  }
}