Pith Number

pith:ZUKZWVYL

pith:2012:ZUKZWVYL2PPQFRWFDKWITM2NGG

not attested not anchored not stored refs pending

Self-Dual Maps and Symmetric Bistochastic Matrices

Corey O'Meara, Rajesh Pereira

arxiv:1210.2579 v2 · 2012-10-09 · math.OA · math.FA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUKZWVYL2PPQFRWFDKWITM2NGG}

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	2026-05-18T03:41:00.874829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd159b570bd3df02c6c51aac89b34d3181ff8763838bc5fa64b9ab5251ad3766

Aliases

arxiv: 1210.2579 · arxiv_version: 1210.2579v2 · doi: 10.48550/arxiv.1210.2579 · pith_short_12: ZUKZWVYL2PPQ · pith_short_16: ZUKZWVYL2PPQFRWF · pith_short_8: ZUKZWVYL

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/ZUKZWVYL2PPQFRWFDKWITM2NGG \
  | 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: cd159b570bd3df02c6c51aac89b34d3181ff8763838bc5fa64b9ab5251ad3766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c83b028434a5d279ddd38866c20847c0ff3a58a3bf5ccccbd3082561116208",
    "cross_cats_sorted": [
      "math.FA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-10-09T12:12:35Z",
    "title_canon_sha256": "9c1cde41355e121e0fed2da896ea04f5acd015a14d816938ec05cf5dd3ee50ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2579",
    "kind": "arxiv",
    "version": 2
  }
}