Pith Number

pith:4LGZATGQ

pith:2002:4LGZATGQEIEIUTLODQI3PBA7CT

not attested not anchored not stored refs pending

Quantum Relatives of Alexander Polynomial

Oleg Viro

arxiv:math/0204290 v1 · 2002-04-24 · math.GT · 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{4LGZATGQEIEIUTLODQI3PBA7CT}

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	2026-07-04T14:36:09.687181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2cd904cd022088a4d6e1c11b7841f14f3f52fce8cbdf629d47afb124af53207

Aliases

arxiv: math/0204290 · arxiv_version: math/0204290v1 · doi: 10.48550/arxiv.math/0204290 · pith_short_12: 4LGZATGQEIEI · pith_short_16: 4LGZATGQEIEIUTLO · pith_short_8: 4LGZATGQ

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/4LGZATGQEIEIUTLODQI3PBA7CT \
  | 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: e2cd904cd022088a4d6e1c11b7841f14f3f52fce8cbdf629d47afb124af53207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7ae4dd6c6f65c5c1bff796fbaa34a4831be1a12feefdd29becb873543fa8d4",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-04-24T10:47:52Z",
    "title_canon_sha256": "f4ea7ef530e59ab89aa2f5d1de9dd3affb21fd797bcb587edcceccd90f57321b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204290",
    "kind": "arxiv",
    "version": 1
  }
}