Pith Number

pith:3Y5B5XOL

pith:2009:3Y5B5XOLP534KHCFFAVZNHIGBR

not attested not anchored not stored refs pending

Causality and statistics on the Groenewold-Moyal plane

Anosh Joseph, A. P. Balachandran, Pramod Padmanabhan

arxiv:0905.0876 v1 · 2009-05-06 · hep-th · gr-qc · hep-ph · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Y5B5XOLP534KHCFFAVZNHIGBR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:34:59.339269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de3a1eddcb7f77c51c45282b969d060c6d7018e411d2102ed9cdcabf7bbd13de

Aliases

arxiv: 0905.0876 · arxiv_version: 0905.0876v1 · doi: 10.48550/arxiv.0905.0876 · pith_short_12: 3Y5B5XOLP534 · pith_short_16: 3Y5B5XOLP534KHCF · pith_short_8: 3Y5B5XOL

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/3Y5B5XOLP534KHCFFAVZNHIGBR \
  | 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: de3a1eddcb7f77c51c45282b969d060c6d7018e411d2102ed9cdcabf7bbd13de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f61ac447422ce02ef9c95ae17be67d342c5fd1fae0c140a4495fc73b44d40d23",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-05-06T17:07:29Z",
    "title_canon_sha256": "e40ffd8133fd8aa99a55d5c34034d5564aa4a0edfcb3bffdc6d15b3c87570f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0876",
    "kind": "arxiv",
    "version": 1
  }
}