Pith Number

pith:OL2L77R5

pith:2004:OL2L77R5JNBUPDHJOII4AST5ON

not attested not anchored not stored refs pending

Translational Invariance and Noncommutative Field Theories

Orfeu Bertolami

arxiv:gr-qc/0402006 v1 · 2004-02-02 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OL2L77R5JNBUPDHJOII4AST5ON}

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	2026-05-18T00:59:50.525452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72f4bffe3d4b43478ce97211c04a7d736cf892ee407c6706a3464c8dbdc0cab4

Aliases

arxiv: gr-qc/0402006 · arxiv_version: gr-qc/0402006v1 · doi: 10.48550/arxiv.gr-qc/0402006 · pith_short_12: OL2L77R5JNBU · pith_short_16: OL2L77R5JNBUPDHJ · pith_short_8: OL2L77R5

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/OL2L77R5JNBUPDHJOII4AST5ON \
  | 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: 72f4bffe3d4b43478ce97211c04a7d736cf892ee407c6706a3464c8dbdc0cab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93826d1f8554363f3962ed6bc5177cf9f401051b835d8a1e80283d3f157784fc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-02-02T14:41:12Z",
    "title_canon_sha256": "588225a37dbd516658ee3ed4a611c848dc62c989d55f495d102dbf7ca373f732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0402006",
    "kind": "arxiv",
    "version": 1
  }
}