Pith Number

pith:FJAVJ2BY

pith:2002:FJAVJ2BYFSM3VMRCU7JW3GTSI3

not attested not anchored not stored refs pending

Do clusters of galaxies rotate?

Hrant M. Tovmassian

arxiv:astro-ph/0212110 v2 · 2002-12-04 · 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{FJAVJ2BYFSM3VMRCU7JW3GTSI3}

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	2026-07-04T14:12:29.081221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a4154e8382c99bab222a7d36d9a7246d7196cc2fa9bb661e26f5d99131fa493

Aliases

arxiv: astro-ph/0212110 · arxiv_version: astro-ph/0212110v2 · doi: 10.48550/arxiv.astro-ph/0212110 · pith_short_12: FJAVJ2BYFSM3 · pith_short_16: FJAVJ2BYFSM3VMRC · pith_short_8: FJAVJ2BY

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/FJAVJ2BYFSM3VMRCU7JW3GTSI3 \
  | 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: 2a4154e8382c99bab222a7d36d9a7246d7196cc2fa9bb661e26f5d99131fa493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "747881477609b0adfecaeec29fe362d8d191816ea353297947d6d5b4048e55f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-12-04T19:29:04Z",
    "title_canon_sha256": "f79ece7f2225880a4da5c92f0d28b154ef30e119fba8c7888facc9801a3f1153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0212110",
    "kind": "arxiv",
    "version": 2
  }
}