Pith Number

pith:7K7M2TYW

pith:2010:7K7M2TYWGPYUK5PEN7QO2BV6HQ

not attested not anchored not stored refs pending

Spin models constructed from Hadamard matrices

Akihiro Munemasa, Takuya Ikuta

arxiv:1011.0315 v2 · 2010-11-01 · 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{7K7M2TYWGPYUK5PEN7QO2BV6HQ}

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	2026-05-18T00:32:31.837737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fabecd4f1633f14575e46fe0ed06be3c2a68d5de4a3b3a9a98ef1a0de2bacd72

Aliases

arxiv: 1011.0315 · arxiv_version: 1011.0315v2 · doi: 10.48550/arxiv.1011.0315 · pith_short_12: 7K7M2TYWGPYU · pith_short_16: 7K7M2TYWGPYUK5PE · pith_short_8: 7K7M2TYW

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/7K7M2TYWGPYUK5PEN7QO2BV6HQ \
  | 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: fabecd4f1633f14575e46fe0ed06be3c2a68d5de4a3b3a9a98ef1a0de2bacd72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e123aa078f740dcdc688f8ba12b333a41fbbee985c5701a3512e16131fe55c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-01T13:29:51Z",
    "title_canon_sha256": "9e2ecabfdff809a79b4e4c9fe0f5d86fdcd97e5f59f3c94fa808760d001f09de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0315",
    "kind": "arxiv",
    "version": 2
  }
}