Pith Number

pith:P3Y5F7FK

pith:2011:P3Y5F7FKRLKUWRLMAIVLOTRKGS

not attested not anchored not stored refs pending

A General formulation of the Moyal and Voros products and its physical interpretation

Domagoj Kovacevic, Laure Gouba, Stjepan Meljanac

arxiv:1106.0469 v4 · 2011-06-02 · 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{P3Y5F7FKRLKUWRLMAIVLOTRKGS}

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	2026-05-18T04:03:09.244887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef1d2fcaa8ad54b456c022ab74e2a348207d74f7bae11846c666978764843a3

Aliases

arxiv: 1106.0469 · arxiv_version: 1106.0469v4 · doi: 10.48550/arxiv.1106.0469 · pith_short_12: P3Y5F7FKRLKU · pith_short_16: P3Y5F7FKRLKUWRLM · pith_short_8: P3Y5F7FK

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/P3Y5F7FKRLKUWRLMAIVLOTRKGS \
  | 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: 7ef1d2fcaa8ad54b456c022ab74e2a348207d74f7bae11846c666978764843a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76e6ae716997b39ec2af70cd63605d89315a3288c16c1361852879c13b6406a",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-02T16:52:45Z",
    "title_canon_sha256": "3e07ec7e6c801251cebf9387403be02e3bc449f1b6f885be0dcbf37b9a84c150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0469",
    "kind": "arxiv",
    "version": 4
  }
}