Pith Number

pith:UG5RPLAT

pith:2013:UG5RPLATFHQT5IE2SUG4VJPCMF

not attested not anchored not stored refs pending

Groupoids and the tomographic picture of quantum mechanics

A. Ibort, A. Simoni, C. Stornaiolo, G. Marmo, V.I. Manko

arxiv:1309.2782 v1 · 2013-09-11 · math-ph · math.MP · 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{UG5RPLATFHQT5IE2SUG4VJPCMF}

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	2026-05-18T01:47:43.331781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1bb17ac1329e13ea09a950dcaa5e2614c5d0d6c8934c808bb5d029e54a471f8

Aliases

arxiv: 1309.2782 · arxiv_version: 1309.2782v1 · doi: 10.48550/arxiv.1309.2782 · pith_short_12: UG5RPLATFHQT · pith_short_16: UG5RPLATFHQT5IE2 · pith_short_8: UG5RPLAT

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/UG5RPLATFHQT5IE2SUG4VJPCMF \
  | 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: a1bb17ac1329e13ea09a950dcaa5e2614c5d0d6c8934c808bb5d029e54a471f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b7dfdd9801fbc02ea223c414ae6d7a94678e1964e7204bc28ba05cdcc1458ef",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-11T10:27:31Z",
    "title_canon_sha256": "2be8375aa0a5bec5288adc4743e5db6433ed1b2437cef193f738420691e9f3fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2782",
    "kind": "arxiv",
    "version": 1
  }
}