Pith Number

pith:ZRYCKEG4

pith:2001:ZRYCKEG4IN74WNJKJM7HNGGSZA

not attested not anchored not stored refs pending

A rational noncommutative invariant of boundary links

Andrew Kricker, Stavros Garoufalidis

arxiv:math/0105028 v4 · 2001-05-03 · 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{ZRYCKEG4IN74WNJKJM7HNGGSZA}

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	2026-05-18T02:38:00.813556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc702510dc437fcb352a4b3e7698d2c814016d037987d9f3b6dc6974951f3b38

Aliases

arxiv: math/0105028 · arxiv_version: math/0105028v4 · doi: 10.48550/arxiv.math/0105028 · pith_short_12: ZRYCKEG4IN74 · pith_short_16: ZRYCKEG4IN74WNJK · pith_short_8: ZRYCKEG4

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/ZRYCKEG4IN74WNJKJM7HNGGSZA \
  | 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: cc702510dc437fcb352a4b3e7698d2c814016d037987d9f3b6dc6974951f3b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ad13c5454cf1a5ee6031167f4ee86ae0c1d6c830383a54fdaaf51712830f1c9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-05-03T19:28:30Z",
    "title_canon_sha256": "d77abac9f0b67e0e9df3fbc008bdfa0bbb3b82e755940d9af99996da27022463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105028",
    "kind": "arxiv",
    "version": 4
  }
}