Pith Number

pith:GPFZN4TT

pith:1999:GPFZN4TTTXKTOJMPCUVZP6DBCF

not attested not anchored not stored refs pending

Gravitational waves from galaxy cluster distributions

Diego Saez, Jose M. Ibanez, Vicent Quilis

arxiv:astro-ph/9910256 v1 · 1999-10-14 · astro-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{GPFZN4TTTXKTOJMPCUVZP6DBCF}

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	2026-05-18T01:07:35.945091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33cb96f2739dd537258f152b97f861117d3a52a4ac0b7d775e689f92b0ca0074

Aliases

arxiv: astro-ph/9910256 · arxiv_version: astro-ph/9910256v1 · doi: 10.48550/arxiv.astro-ph/9910256 · pith_short_12: GPFZN4TTTXKT · pith_short_16: GPFZN4TTTXKTOJMP · pith_short_8: GPFZN4TT

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/GPFZN4TTTXKTOJMPCUVZP6DBCF \
  | 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: 33cb96f2739dd537258f152b97f861117d3a52a4ac0b7d775e689f92b0ca0074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0382bcea4017312b72a042145cc6ca39f848dab3e885355abb522ff0ba49e35",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-10-14T11:18:17Z",
    "title_canon_sha256": "b1cde40ac22d0066d57075a31a5dc81a9af2351c56ee8809c936824023433f80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9910256",
    "kind": "arxiv",
    "version": 1
  }
}