Pith Number

pith:FND72ANS

pith:2012:FND72ANSEJDER2FQQE3G37INF7

not attested not anchored not stored refs pending

Gravitational waves and the breaking of parallelograms in space-time

J. F. da Rocha-Neto, J. W. Maluf, S. C. Ulhoa

arxiv:1207.2510 v2 · 2012-07-10 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FND72ANSEJDER2FQQE3G37INF7}

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	2026-05-18T03:29:40.684124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b47fd01b2224648e8b081366dfd0d2fc03d1d68fb318189d92cb20477f2bec2

Aliases

arxiv: 1207.2510 · arxiv_version: 1207.2510v2 · doi: 10.48550/arxiv.1207.2510 · pith_short_12: FND72ANSEJDE · pith_short_16: FND72ANSEJDER2FQ · pith_short_8: FND72ANS

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/FND72ANSEJDER2FQQE3G37INF7 \
  | 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: 2b47fd01b2224648e8b081366dfd0d2fc03d1d68fb318189d92cb20477f2bec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae20d044bf80e4da731cbff2f16331cbb72c2ae3bad4a9943637439130e99c4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-10T23:16:43Z",
    "title_canon_sha256": "7befd5e160936c1abbf49c97dda81bbf8388356e84c95eee48392aad787b6544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2510",
    "kind": "arxiv",
    "version": 2
  }
}