Pith. sign in
Pith Number

pith:P3QNE7VZ

pith:1998:P3QNE7VZOFZ2VHRI2F3O62ADVX
not attested not anchored not stored refs pending

Boltzmann approach to the large-angle cosmic X-ray background fluctuations

Kazuhiro Yamamoto, Kenta Miyauchi, Masayasu Hosonuma, Yasuhiro Miura

arxiv:astro-ph/9805168 v1 · 1998-05-13 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P3QNE7VZOFZ2VHRI2F3O62ADVX}

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 2026-07-04T16:06:23.213978Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ee0d27eb97173aa9e28d176ef6803adf3e4eb839d8b0d2808d551a20d08f939

Aliases

arxiv: astro-ph/9805168 · arxiv_version: astro-ph/9805168v1 · doi: 10.48550/arxiv.astro-ph/9805168 · pith_short_12: P3QNE7VZOFZ2 · pith_short_16: P3QNE7VZOFZ2VHRI · pith_short_8: P3QNE7VZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P3QNE7VZOFZ2VHRI2F3O62ADVX \
  | 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: 7ee0d27eb97173aa9e28d176ef6803adf3e4eb839d8b0d2808d551a20d08f939
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3624be2a8586aa2c891b36a6675efdb56eec198826b39e4f2473ab574ae78288",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-05-13T12:21:38Z",
    "title_canon_sha256": "3ee688d0ca2aca1668dbd77e11f2b0ea99aa84c024b70b0618f8b9383debfab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9805168",
    "kind": "arxiv",
    "version": 1
  }
}