Pith Number

pith:BMZG46SC

pith:2011:BMZG46SCOI3RHLEHWEU6S25B5T

not attested not anchored not stored refs pending

The Luminosity Function of the NoSOCS Galaxy Cluster Sample

E. De Filippis, F.La Barbera, G. Longo, M. Paolillo, R. Gal, R.R. de Carvalho

arxiv:1102.5310 v1 · 2011-02-25 · 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{BMZG46SCOI3RHLEHWEU6S25B5T}

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	2026-05-18T02:03:04.647108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b326e7a42723713ac87b129e96ba1ece4414ad24513f503384da79762ea5078

Aliases

arxiv: 1102.5310 · arxiv_version: 1102.5310v1 · doi: 10.48550/arxiv.1102.5310 · pith_short_12: BMZG46SCOI3R · pith_short_16: BMZG46SCOI3RHLEH · pith_short_8: BMZG46SC

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/BMZG46SCOI3RHLEHWEU6S25B5T \
  | 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: 0b326e7a42723713ac87b129e96ba1ece4414ad24513f503384da79762ea5078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e01e7f49649f8f16d86e3eb10d5ca210d97c8be31752617a665b515224dcd6f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-02-25T18:54:51Z",
    "title_canon_sha256": "4b93bcbea34bbb26a395e80c1494b10d71d88ceca4e44d38893729af1d0fcf12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5310",
    "kind": "arxiv",
    "version": 1
  }
}