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Pith Number

pith:FUIKC4MF

pith:2001:FUIKC4MFX4JIHTEYUYGLHFUD66
not attested not anchored not stored refs pending

Nonrelativistic Electron-Electron Thermal Bremsstrahlung Gaunt Factor

Naoki Itoh, Satoshi Nozawa, Youhei Kawana

arxiv:astro-ph/0111040 v2 · 2001-11-02 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FUIKC4MFX4JIHTEYUYGLHFUD66}

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 2026-05-18T04:36:19.564242Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2d10a17185bf1283cc98a60cb39683f7899f87dcdfb5655f86613e56bd7e4592

Aliases

arxiv: astro-ph/0111040 · arxiv_version: astro-ph/0111040v2 · doi: 10.48550/arxiv.astro-ph/0111040 · pith_short_12: FUIKC4MFX4JI · pith_short_16: FUIKC4MFX4JIHTEY · pith_short_8: FUIKC4MF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FUIKC4MFX4JIHTEYUYGLHFUD66 \
  | 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: 2d10a17185bf1283cc98a60cb39683f7899f87dcdfb5655f86613e56bd7e4592
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a4c49d8f8462f0b12116d22338c77857631dad4719031afcbf0091c1de798c0b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-11-02T05:50:02Z",
    "title_canon_sha256": "eab2f7f147325120cc2fba2b511f9700057780de0c17052d14287cfc7056beb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0111040",
    "kind": "arxiv",
    "version": 2
  }
}