Pith Number

pith:GWVPHEPT

pith:2011:GWVPHEPTEG4P3DJFGBUQHKYFOR

not attested not anchored not stored refs pending

Phase-Space Noncommutativity and the Dirac Equation

Orfeu Bertolami, Raquel Queiroz

arxiv:1105.2774 v2 · 2011-05-13 · hep-th · gr-qc · hep-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{GWVPHEPTEG4P3DJFGBUQHKYFOR}

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	2026-05-18T02:01:58.491603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35aaf391f321b8fd8d25306903ab05747ae9a84c3675deeebc579e43e80c3055

Aliases

arxiv: 1105.2774 · arxiv_version: 1105.2774v2 · doi: 10.48550/arxiv.1105.2774 · pith_short_12: GWVPHEPTEG4P · pith_short_16: GWVPHEPTEG4P3DJF · pith_short_8: GWVPHEPT

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/GWVPHEPTEG4P3DJFGBUQHKYFOR \
  | 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: 35aaf391f321b8fd8d25306903ab05747ae9a84c3675deeebc579e43e80c3055

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4dec6c3a8a27e63ba736ab20793e46c264e5db4ebefc1ba6b928cfbcf0ed6fa",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-05-13T16:49:11Z",
    "title_canon_sha256": "4c0b4469288662d9ab1b07e50e84c8bd11a44e4719f2309c7823a489ec0e8c10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2774",
    "kind": "arxiv",
    "version": 2
  }
}