Pith Number

pith:5JDC3D2H

pith:2012:5JDC3D2H2TZXLXEUBKHKCQB32F

not attested not anchored not stored refs pending

Reduction of Lie-Jordan Banach algebras and quantum states

A. Ibort, F. Falceto, G. Marmo, L. Ferro

arxiv:1202.3969 v1 · 2012-02-17 · math-ph · hep-th · 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{5JDC3D2H2TZXLXEUBKHKCQB32F}

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	2026-05-18T01:58:24.043549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea462d8f47d4f375dc940a8ea1403bd17b05f92c9adf5e8b5dfea92717c1a96f

Aliases

arxiv: 1202.3969 · arxiv_version: 1202.3969v1 · doi: 10.48550/arxiv.1202.3969 · pith_short_12: 5JDC3D2H2TZX · pith_short_16: 5JDC3D2H2TZXLXEU · pith_short_8: 5JDC3D2H

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/5JDC3D2H2TZXLXEUBKHKCQB32F \
  | 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: ea462d8f47d4f375dc940a8ea1403bd17b05f92c9adf5e8b5dfea92717c1a96f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e93f5db996371388b4cd789951200051391332325d2f54a633f65a98da4061c2",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-17T17:10:21Z",
    "title_canon_sha256": "c6783aab7345efedc477758f9bb154238278df21d8a96fc26450fcf6f7357d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3969",
    "kind": "arxiv",
    "version": 1
  }
}