Pith Number

pith:U4ZLDFG5

pith:2004:U4ZLDFG5MSNP6IVFCJBYZA5VE5

not attested not anchored not stored refs pending

A computation of the Kontsevich integral of torus knots

Julien Marche

arxiv:math/0404264 v2 · 2004-04-14 · 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{U4ZLDFG5MSNP6IVFCJBYZA5VE5}

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	2026-05-18T02:41:32.473745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a732b194dd649aff22a512438c83b5276d82bb4a3c5ac62633f4a738ff793a0a

Aliases

arxiv: math/0404264 · arxiv_version: math/0404264v2 · doi: 10.48550/arxiv.math/0404264 · pith_short_12: U4ZLDFG5MSNP · pith_short_16: U4ZLDFG5MSNP6IVF · pith_short_8: U4ZLDFG5

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/U4ZLDFG5MSNP6IVFCJBYZA5VE5 \
  | 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: a732b194dd649aff22a512438c83b5276d82bb4a3c5ac62633f4a738ff793a0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d8325b3482b34ac9df9959226ae504f3793ba628c59213547428543e4275355",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-04-14T14:10:05Z",
    "title_canon_sha256": "56fd81c12156ac7acd79ffa1603e841cdd80b86fc3324d721d239b75bb6ea6a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404264",
    "kind": "arxiv",
    "version": 2
  }
}