Pith Number

pith:X64TWA54

pith:2001:X64TWA54PUSA5JRXZKDGPZAMJW

not attested not anchored not stored refs pending

Non-Gaussian morphology on large scales: Minkowski functionals of the REFLEX cluster catalogue

C.A. Collins, H. B"ohringer (MPE), JHU), K.Mecke (MPI, L. Guzzo (Osservatorio Astronomico di Brera), M.Kerscher (University of Munich, P. Schuecker, R. Cruddace (Navel Research Laboratory Washington), S. De Grandi (Osservatorio Astronomico di Brera), S. Schindler (Liverpool John Moores University), University of Stuttgart)

arxiv:astro-ph/0105150 v2 · 2001-05-09 · 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{X64TWA54PUSA5JRXZKDGPZAMJW}

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	2026-05-18T01:07:45.860960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb93b03bc7d240ea637ca8667e40c4d8aa0ad0434fac3441eb3b474d4f1f389

Aliases

arxiv: astro-ph/0105150 · arxiv_version: astro-ph/0105150v2 · doi: 10.48550/arxiv.astro-ph/0105150 · pith_short_12: X64TWA54PUSA · pith_short_16: X64TWA54PUSA5JRX · pith_short_8: X64TWA54

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/X64TWA54PUSA5JRXZKDGPZAMJW \
  | 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: bfb93b03bc7d240ea637ca8667e40c4d8aa0ad0434fac3441eb3b474d4f1f389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6491931ffa51c420c487c4d6575d54ea12c490511def1e53e34513ca404e0347",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-05-09T16:13:30Z",
    "title_canon_sha256": "aba44ac352c116c02d074af69dc2b1ee0c8b0503c2e49f539e6a99aa9a6324c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0105150",
    "kind": "arxiv",
    "version": 2
  }
}