Pith Number

pith:CBMK3STN

pith:1997:CBMK3STNGV32PPWSVN3XYAJFDA

not attested not anchored not stored refs pending

Cosmological Implications of Number Counts of Clusters of Galaxies: logN-logS in X-Ray and Submm Bands

(2)Dept. of Physics, Shin Sasaki (2), Tetsu Kitayama (1), Tokyo Metropolitan University), University of Tokyo, Yasushi Suto (1) ((1)Dept. of Physics

arxiv:astro-ph/9708088 v2 · 1997-08-09 · 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{CBMK3STNGV32PPWSVN3XYAJFDA}

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	2026-05-18T01:40:16.884865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1058adca6d3577a7bed2ab777c012518021a21728a2df72f8afd89205adb4129

Aliases

arxiv: astro-ph/9708088 · arxiv_version: astro-ph/9708088v2 · doi: 10.48550/arxiv.astro-ph/9708088 · pith_short_12: CBMK3STNGV32 · pith_short_16: CBMK3STNGV32PPWS · pith_short_8: CBMK3STN

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/CBMK3STNGV32PPWSVN3XYAJFDA \
  | 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: 1058adca6d3577a7bed2ab777c012518021a21728a2df72f8afd89205adb4129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e3362dbfaa594a31ef4faf850f0838c8e318743459b590ebb9ea2ee8e96be1e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-08-09T07:28:24Z",
    "title_canon_sha256": "7792556480ccf7e3cc4d3662de99137b5a33c08c66a53d1ce96d701f00afdf8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9708088",
    "kind": "arxiv",
    "version": 2
  }
}