Pith Number

pith:G7MUIV7V

pith:2003:G7MUIV7VRNQKEGFGWVYBHFZFSA

not attested not anchored not stored refs pending

CMB Comptonization in Clusters: Spectral and Angular Power from Evolving Polytropic Gas

Sharon Sadeh, Yoel Rephaeli

arxiv:astro-ph/0309423 v1 · 2003-09-16 · 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{G7MUIV7VRNQKEGFGWVYBHFZFSA}

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	2026-05-18T01:40:38.221278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37d94457f58b60a218a6b5701397259010d70e99a2f0920547a9ecea8737c552

Aliases

arxiv: astro-ph/0309423 · arxiv_version: astro-ph/0309423v1 · doi: 10.48550/arxiv.astro-ph/0309423 · pith_short_12: G7MUIV7VRNQK · pith_short_16: G7MUIV7VRNQKEGFG · pith_short_8: G7MUIV7V

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/G7MUIV7VRNQKEGFGWVYBHFZFSA \
  | 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: 37d94457f58b60a218a6b5701397259010d70e99a2f0920547a9ecea8737c552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d93e1cecea47458c4a2792fce996d56f5adf3f2620bc21fc88b8a1a4cb3e5c2c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-09-16T08:27:29Z",
    "title_canon_sha256": "039a1cf19907c44ebf84e2d20e47842330b05501ff06a0c833bab32e212780f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0309423",
    "kind": "arxiv",
    "version": 1
  }
}