Pith Number

pith:EXMT5PIX

pith:2001:EXMT5PIXTIQMNQWAUEGC4MBGYQ

not attested not anchored not stored refs pending

Four-Weight Spin Models and Jones Pairs

Ada Chan, Akihiro Munemasa, Chris Godsil

arxiv:math/0111035 v1 · 2001-11-02 · 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{EXMT5PIXTIQMNQWAUEGC4MBGYQ}

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	2026-05-18T00:32:26.384677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25d93ebd179a20c6c2c0a10c2e3026c41e12b76fd0bbb9e4fef32937427576bc

Aliases

arxiv: math/0111035 · arxiv_version: math/0111035v1 · doi: 10.48550/arxiv.math/0111035 · pith_short_12: EXMT5PIXTIQM · pith_short_16: EXMT5PIXTIQMNQWA · pith_short_8: EXMT5PIX

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/EXMT5PIXTIQMNQWAUEGC4MBGYQ \
  | 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: 25d93ebd179a20c6c2c0a10c2e3026c41e12b76fd0bbb9e4fef32937427576bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "729dce8f4c45986bbeb4a851cd3cdb7219c655c83f94e04e31e127aa85645371",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2001-11-02T22:25:09Z",
    "title_canon_sha256": "e56d002fcd0fedd4b19871fd8ecb8b149fc8ba5088df4a5452cfea8fdec7c0ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111035",
    "kind": "arxiv",
    "version": 1
  }
}