Pith Number

pith:GG3MSYQJ

pith:2003:GG3MSYQJF7FIHTKACGVIZUNJWD

not attested not anchored not stored refs pending

Quantitative Description of the Sunyaev-Zeldovich Effect: Analytic Approximations

Meir Shimon, Yoel Rephaeli

arxiv:astro-ph/0309098 v1 · 2003-09-03 · 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{GG3MSYQJF7FIHTKACGVIZUNJWD}

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	2026-05-18T01:40:38.282202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b6c962092fca83cd4011aa8cd1a9b0ea499fe83046ab7420811370e48f7a47

Aliases

arxiv: astro-ph/0309098 · arxiv_version: astro-ph/0309098v1 · doi: 10.48550/arxiv.astro-ph/0309098 · pith_short_12: GG3MSYQJF7FI · pith_short_16: GG3MSYQJF7FIHTKA · pith_short_8: GG3MSYQJ

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/GG3MSYQJF7FIHTKACGVIZUNJWD \
  | 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: 31b6c962092fca83cd4011aa8cd1a9b0ea499fe83046ab7420811370e48f7a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f2e0e442d608c96a78df62456bb22635419a3656d58e7cd1bf3ed5b337cf580",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-09-03T12:24:20Z",
    "title_canon_sha256": "6e7ed445feb5ac1ed091ecc66a3a4370de7e8b0e8cd6a11296c86d4b045b931f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0309098",
    "kind": "arxiv",
    "version": 1
  }
}