Pith Number

pith:CVNLC7ZZ

pith:1997:CVNLC7ZZOIED53RMHS6YI2K6WV

not attested not anchored not stored refs pending

The number of primitive Vassiliev invariants up to degree 12

Jan A. Kneissler

arxiv:q-alg/9706022 v1 · 1997-06-18 · 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{CVNLC7ZZOIED53RMHS6YI2K6WV}

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

Construction of Lie algebra weight system kernel via Vogel algebra

Receipt and verification

First computed	2026-07-04T15:09:11.416924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

155ab17f3972083eee2c3cbd84695eb562eba304cfeec0956d00aa72c74a3bc6

Aliases

arxiv: q-alg/9706022 · arxiv_version: q-alg/9706022v1 · doi: 10.48550/arxiv.q-alg/9706022 · pith_short_12: CVNLC7ZZOIED · pith_short_16: CVNLC7ZZOIED53RM · pith_short_8: CVNLC7ZZ

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/CVNLC7ZZOIED53RMHS6YI2K6WV \
  | 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: 155ab17f3972083eee2c3cbd84695eb562eba304cfeec0956d00aa72c74a3bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab4797a141b0ed57af46016dbe2c84c5634862c1d776d1adfa3a88a4162ede77",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1997-06-18T21:29:19Z",
    "title_canon_sha256": "97977170590773583a772d561e1c9aa77c9002b67adad33efc130c7ca13b5f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9706022",
    "kind": "arxiv",
    "version": 1
  }
}