Pith Number

pith:6P4AXB5I

pith:2002:6P4AXB5IMR2DSZSKTNONMGTWSV

not attested not anchored not stored refs pending

Composite Luminosity Functions Based on the Sloan Digital Sky Survey "Cut & Enhance" Galaxy Cluster Catalog

2, 3), James Annis (5), J. Brinkmann (7), Maki Sekiguchi (1), Mariangela Bernardi (2), Neta A. Bahcall (6), Percy L. Gomez (2), Ravi K. Sheth (9) ((1)ICRR Tokyo (2)CMU (3)Tokyo (4)Michigan (5)Fermilab (6)Princeton (7) APO (8)JHU (9)Pittsburgh), Rita S. J. Kim (8), Sadanori Okamura (3), Sarah Hansen (4), Timothy A. McKay (4), Tomotsugu Goto (1

arxiv:astro-ph/0205413 v4 · 2002-05-23 · 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{6P4AXB5IMR2DSZSKTNONMGTWSV}

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	2026-05-18T01:40:42.757918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3f80b87a8647439664a9b5cd61a76954fb01b71929db80ec58070c1b3862788

Aliases

arxiv: astro-ph/0205413 · arxiv_version: astro-ph/0205413v4 · doi: 10.48550/arxiv.astro-ph/0205413 · pith_short_12: 6P4AXB5IMR2D · pith_short_16: 6P4AXB5IMR2DSZSK · pith_short_8: 6P4AXB5I

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/6P4AXB5IMR2DSZSKTNONMGTWSV \
  | 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: f3f80b87a8647439664a9b5cd61a76954fb01b71929db80ec58070c1b3862788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f07525b8dbc607cff736966a2a09db1c7f1dfaf21abe57efa926040b598da97a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-05-23T22:25:58Z",
    "title_canon_sha256": "7d66bc5680a247c7871d6906066884d9e2a55e22385a80d915ec0e91f1806e87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0205413",
    "kind": "arxiv",
    "version": 4
  }
}