Pith Number

pith:KQV56XNS

pith:2001:KQV56XNS67L2IISX7I46DAQHQT

not attested not anchored not stored refs pending

A joint fit to the cosmological Model and the T-M and L_x-T relations using cluster data

E. Martinez-Gonzalez, J.L. Sanz, J.M. Diego, J. Silk, L. Cayon, N. Benitez

arxiv:astro-ph/0104217 v1 · 2001-04-12 · 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{KQV56XNS67L2IISX7I46DAQHQT}

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	2026-07-04T14:11:08.300102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

542bdf5db2f7d7a42257fa39e1820784d6a3da292c05fd8ae1460548f21ad982

Aliases

arxiv: astro-ph/0104217 · arxiv_version: astro-ph/0104217v1 · doi: 10.48550/arxiv.astro-ph/0104217 · pith_short_12: KQV56XNS67L2 · pith_short_16: KQV56XNS67L2IISX · pith_short_8: KQV56XNS

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/KQV56XNS67L2IISX7I46DAQHQT \
  | 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: 542bdf5db2f7d7a42257fa39e1820784d6a3da292c05fd8ae1460548f21ad982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9f3ce6b9b230422655c9d14219e3e9df554a64ff2bd3765350fae955da0ed16",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-04-12T10:03:51Z",
    "title_canon_sha256": "5a84135175af88db4f3862e2fcb02991c5201376f02164bbc8daca89649baa26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0104217",
    "kind": "arxiv",
    "version": 1
  }
}