Pith Number

pith:4PIQJ7SM

pith:2012:4PIQJ7SMUHUNLSXLYB5EMGDXBC

not attested not anchored not stored refs pending

Quantum Matrices by Paths

Karel Casteels

arxiv:1210.6399 v3 · 2012-10-23 · math.QA · 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{4PIQJ7SMUHUNLSXLYB5EMGDXBC}

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	2026-05-18T01:22:26.141832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3d104fe4ca1e8d5caebc07a46187708afce576d871c1ac30ec0126544a88850

Aliases

arxiv: 1210.6399 · arxiv_version: 1210.6399v3 · doi: 10.48550/arxiv.1210.6399 · pith_short_12: 4PIQJ7SMUHUN · pith_short_16: 4PIQJ7SMUHUNLSXL · pith_short_8: 4PIQJ7SM

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/4PIQJ7SMUHUNLSXLYB5EMGDXBC \
  | 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: e3d104fe4ca1e8d5caebc07a46187708afce576d871c1ac30ec0126544a88850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d516b535c24e96b75daaf846aa21319298a565eef5e55a9df11d338fa2ed456",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-10-23T22:49:33Z",
    "title_canon_sha256": "6ef40aa06c0c98747e892a4e655ac3e0d94f60c4fa612b430514db169dce7601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6399",
    "kind": "arxiv",
    "version": 3
  }
}