Pith Number

pith:C2I7B666

pith:2006:C2I7B66644WYRO62F3JFHMDCJF

not attested not anchored not stored refs pending

The evolution of galaxy groups and of galaxies therein

France), Gary A. Mamon (IAP, Paris

arxiv:astro-ph/0607482 v2 · 2006-07-21 · 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{C2I7B66644WYRO62F3JFHMDCJF}

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	2026-05-18T01:40:30.023931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1691f0fbdee72d88bbda2ed253b062497f655b888f6864b2049b6a070e2b80e2

Aliases

arxiv: astro-ph/0607482 · arxiv_version: astro-ph/0607482v2 · doi: 10.48550/arxiv.astro-ph/0607482 · pith_short_12: C2I7B66644WY · pith_short_16: C2I7B66644WYRO62 · pith_short_8: C2I7B666

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/C2I7B66644WYRO62F3JFHMDCJF \
  | 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: 1691f0fbdee72d88bbda2ed253b062497f655b888f6864b2049b6a070e2b80e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7ebde2265283762d2d8a3f2ee189125f24be2a96519d1a9a6fada39a8c76eab",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-07-21T13:39:15Z",
    "title_canon_sha256": "c4df9253687862b657ab22ce8c1461d740c1b438b3d4d0811a06c6c730f280b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0607482",
    "kind": "arxiv",
    "version": 2
  }
}