Pith Number

pith:XSERPQF3

pith:2011:XSERPQF3DKSXPJSZ24VYGMQM5E

not attested not anchored not stored refs pending

Redshift evolution of the 1.4 GHz volume averaged radio luminosity function in clusters of galaxies

F. Bertoldi, F. Pacaud, H. Andernach, K. Basu, M. W. Sommer

arxiv:1103.3263 v1 · 2011-03-16 · 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{XSERPQF3DKSXPJSZ24VYGMQM5E}

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	2026-05-18T02:02:50.671507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc8917c0bb1aa577a659d72b83320ce909c7bd48e40401c48d659dfe57d4f073

Aliases

arxiv: 1103.3263 · arxiv_version: 1103.3263v1 · doi: 10.48550/arxiv.1103.3263 · pith_short_12: XSERPQF3DKSX · pith_short_16: XSERPQF3DKSXPJSZ · pith_short_8: XSERPQF3

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/XSERPQF3DKSXPJSZ24VYGMQM5E \
  | 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: bc8917c0bb1aa577a659d72b83320ce909c7bd48e40401c48d659dfe57d4f073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef0d4e97ad0d74f9fa3ea825d2fcfd45cb35e222d9088509911fe3c113b2c66e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-03-16T19:50:58Z",
    "title_canon_sha256": "751a82e483aa0cb5a815d6f8592c0c1a6dc54dda4fe490a18c2b3eba8798f9bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3263",
    "kind": "arxiv",
    "version": 1
  }
}