Pith Number

pith:NPK7MI32

pith:2006:NPK7MI324BUBCSYTNWJK73MLNK

not attested not anchored not stored refs pending

Alternating sum formulae for the determinant and other link invariants

David Futer, Efstratia Kalfagianni, Neal W. Stoltzfus, Oliver T. Dasbach, Xiao-Song Lin

arxiv:math/0611025 v2 · 2006-11-01 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPK7MI324BUBCSYTNWJK73MLNK}

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	2026-05-18T04:42:43.408401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bd5f6237ae068114b136d92afed8b6abdabe084a10e851112e7afc5805b89a3

Aliases

arxiv: math/0611025 · arxiv_version: math/0611025v2 · doi: 10.48550/arxiv.math/0611025 · pith_short_12: NPK7MI324BUB · pith_short_16: NPK7MI324BUBCSYT · pith_short_8: NPK7MI32

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/NPK7MI324BUBCSYTNWJK73MLNK \
  | 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: 6bd5f6237ae068114b136d92afed8b6abdabe084a10e851112e7afc5805b89a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e78e9bc3436e8f878da6410b016e5f827fa66b52014fc6ac00cfff2a11ed805",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-11-01T17:44:22Z",
    "title_canon_sha256": "c5d502fae9ab325ed19d2aa33a9ca078dcaf915bdeadc1d7135ad26f5070228d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611025",
    "kind": "arxiv",
    "version": 2
  }
}