Pith Number

pith:X5U7X77T

pith:1996:X5U7X77TDSTZ6BDSISAPMPJYUK

not attested not anchored not stored refs pending

Evolution of Compact Groups of Galaxies I. Merging Rates

A. Bosma, E. Athanassoula, J. Makino

arxiv:astro-ph/9612223 v1 · 1996-12-23 · 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{X5U7X77TDSTZ6BDSISAPMPJYUK}

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	2026-05-18T01:40:18.498899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf69fbfff31ca79f04724480f63d38a2a33334faecbf45bf3e34abd779ac04a3

Aliases

arxiv: astro-ph/9612223 · arxiv_version: astro-ph/9612223v1 · doi: 10.48550/arxiv.astro-ph/9612223 · pith_short_12: X5U7X77TDSTZ · pith_short_16: X5U7X77TDSTZ6BDS · pith_short_8: X5U7X77T

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/X5U7X77TDSTZ6BDSISAPMPJYUK \
  | 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: bf69fbfff31ca79f04724480f63d38a2a33334faecbf45bf3e34abd779ac04a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387e5b45a57d7cf2f3275980bfc178869f3585ad7a7bfed3aaa1ebc56618a505",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-12-23T17:49:07Z",
    "title_canon_sha256": "676a0a8a684965071643007720edad5a7788b1e263954cf467a4435c8c71fb83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9612223",
    "kind": "arxiv",
    "version": 1
  }
}