Pith Number

pith:VUOHP4AY

pith:1999:VUOHP4AYSYIGHKG2L4LZ6I35GZ

not attested not anchored not stored refs pending

Angular function for the Compton scattering in mildly and ultra relativistic astrophysical plasmas

Rashid A. Sunyaev, Sergei Y. Sazonov

arxiv:astro-ph/9912312 v1 · 1999-12-15 · 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{VUOHP4AYSYIGHKG2L4LZ6I35GZ}

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	2026-05-18T04:21:32.021628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad1c77f018961063a8da5f179f237d364db3a7e7171474c7a7d2da334ad25360

Aliases

arxiv: astro-ph/9912312 · arxiv_version: astro-ph/9912312v1 · doi: 10.48550/arxiv.astro-ph/9912312 · pith_short_12: VUOHP4AYSYIG · pith_short_16: VUOHP4AYSYIGHKG2 · pith_short_8: VUOHP4AY

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/VUOHP4AYSYIGHKG2L4LZ6I35GZ \
  | 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: ad1c77f018961063a8da5f179f237d364db3a7e7171474c7a7d2da334ad25360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20400cde4029297f8a6c7f9c3e9838e6558879805a462e042ab8f051f720ac20",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-12-15T14:53:03Z",
    "title_canon_sha256": "dfd628c99994ae2b6e60474c335430b4469014714af15269b8768a09a1036e09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9912312",
    "kind": "arxiv",
    "version": 1
  }
}