Pith Number

pith:K7PGRPTZ

pith:2002:K7PGRPTZMD54RECE36YG3GQHU5

not attested not anchored not stored refs pending

Spin-1 gravitational waves

F. Canfora, G. Vilasi, P. Vitale

arxiv:gr-qc/0212024 v2 · 2002-12-05 · 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{K7PGRPTZMD54RECE36YG3GQHU5}

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	2026-05-18T02:37:30.595612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57de68be7960fbc89044dfb06d9a07a76dea71db8243d1a45f510af235693ec7

Aliases

arxiv: gr-qc/0212024 · arxiv_version: gr-qc/0212024v2 · doi: 10.48550/arxiv.gr-qc/0212024 · pith_short_12: K7PGRPTZMD54 · pith_short_16: K7PGRPTZMD54RECE · pith_short_8: K7PGRPTZ

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/K7PGRPTZMD54RECE36YG3GQHU5 \
  | 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: 57de68be7960fbc89044dfb06d9a07a76dea71db8243d1a45f510af235693ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfcf32290406fefd6a55dfbd65b305fd854ca283ba940655335150e1b2ee7f22",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-12-05T11:16:28Z",
    "title_canon_sha256": "7b319437060eb7162dd1526d4136d60296d87ca50b1ca49f75f4d15968530c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0212024",
    "kind": "arxiv",
    "version": 2
  }
}