Pith Number

pith:4JF3XO4O

pith:2011:4JF3XO4OJQCS3HCXKIFURWXYCG

not attested not anchored not stored refs pending

Maximum Likelihood Random Galaxy Catalogues and Luminosity Function Estimation

Shaun Cole (Institute for Computational Cosmology, UK), University of Durham

arxiv:1104.0009 v2 · 2011-03-31 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JF3XO4OJQCS3HCXKIFURWXYCG}

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	2026-05-18T02:02:41.927276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e24bbbbb8e4c052d9c57520b48daf81193a6cd837157f9bc46483b0fb87b6135

Aliases

arxiv: 1104.0009 · arxiv_version: 1104.0009v2 · doi: 10.48550/arxiv.1104.0009 · pith_short_12: 4JF3XO4OJQCS · pith_short_16: 4JF3XO4OJQCS3HCX · pith_short_8: 4JF3XO4O

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/4JF3XO4OJQCS3HCXKIFURWXYCG \
  | 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: e24bbbbb8e4c052d9c57520b48daf81193a6cd837157f9bc46483b0fb87b6135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "672bf918bb1902db0adac71b4cf946dbf76233c15387b11179a96922a343bf30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-03-31T20:00:05Z",
    "title_canon_sha256": "490c73de5a28fbe0991dceba69cdb8c983ae0880d49dba8bb58df2593ddaa7ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0009",
    "kind": "arxiv",
    "version": 2
  }
}