Pith Number

pith:O4CPCI77

pith:2004:O4CPCI77R74HM3PWZZ3RU7QYKP

not attested not anchored not stored refs pending

The distribution of red and blue galaxies in groups: an empirical test of the halo model

Adrian A. Collister (IoA, Cambridge), London), Ofer Lahav (UCL

arxiv:astro-ph/0412516 v2 · 2004-12-20 · 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{O4CPCI77R74HM3PWZZ3RU7QYKP}

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	2026-07-04T16:45:27.320592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7704f123ff8ff8766df6ce771a7e1853cb08e39a0d0b7251e28b06a25cf10a30

Aliases

arxiv: astro-ph/0412516 · arxiv_version: astro-ph/0412516v2 · doi: 10.48550/arxiv.astro-ph/0412516 · pith_short_12: O4CPCI77R74H · pith_short_16: O4CPCI77R74HM3PW · pith_short_8: O4CPCI77

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/O4CPCI77R74HM3PWZZ3RU7QYKP \
  | 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: 7704f123ff8ff8766df6ce771a7e1853cb08e39a0d0b7251e28b06a25cf10a30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f6cfc5637dce4d27e143b7253094faa2a6c6c4d79f3e0f133b509b8824db1b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-12-20T13:26:51Z",
    "title_canon_sha256": "5f85c5228d679eb5503272f7562acfcaac7b1324e14b1751590f4a713f9e896b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0412516",
    "kind": "arxiv",
    "version": 2
  }
}