Pith Number

pith:S7IBJ5Y4

pith:2012:S7IBJ5Y4XXECZCKUAN6S7TU5YF

not attested not anchored not stored refs pending

Geometrical description of algebraic structures: Applications to Quantum Mechanics

Alberto Ibort, Giuseppe Marmo, Giuseppe Morandi, Jos\'e F. Cari\~nena

arxiv:1209.4583 v1 · 2012-09-20 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7IBJ5Y4XXECZCKUAN6S7TU5YF}

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	2026-05-18T01:54:20.582118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97d014f71cbdc82c8954037d2fce9dc162bd4aa2537aa96a4cd3c1dc41a1ec37

Aliases

arxiv: 1209.4583 · arxiv_version: 1209.4583v1 · doi: 10.48550/arxiv.1209.4583 · pith_short_12: S7IBJ5Y4XXEC · pith_short_16: S7IBJ5Y4XXECZCKU · pith_short_8: S7IBJ5Y4

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/S7IBJ5Y4XXECZCKUAN6S7TU5YF \
  | 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: 97d014f71cbdc82c8954037d2fce9dc162bd4aa2537aa96a4cd3c1dc41a1ec37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97e4aa4feb6ebf754a5e5b6c036dc0ab99ebd19f5aec4fc878e5ffe25e5fcf9f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-20T17:07:35Z",
    "title_canon_sha256": "4dd15dffcbabfb7ce6aa9ca54e2c00a4a23499b15a7d2354de4891a1191c3b56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4583",
    "kind": "arxiv",
    "version": 1
  }
}