Pith Number
pith:5UTQZ37W
pith:2015:5UTQZ37W3OUACGIRBTGSB3E3DW
not attested
not anchored
not stored
refs pending
Analytic solution of the Boltzmann equation in an expanding system
arxiv:1507.07834 v2 · 2015-07-28 · hep-ph · gr-qc · hep-th · nucl-th · physics.flu-dyn
Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5UTQZ37W3OUACGIRBTGSB3E3DW}
Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more
Record completeness
1
Bitcoin timestamp
2
Internet Archive
3
Author claim
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claim
4
Citations
5
Replications
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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.
Cited by
Receipt and verification
| First computed | 2026-05-18T01:22:37.555310Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
ed270ceff6dba80119110ccd20ec9b1dbfb6a08b2af840f8937a9aa125e7dca4
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5UTQZ37W3OUACGIRBTGSB3E3DW \
| 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: ed270ceff6dba80119110ccd20ec9b1dbfb6a08b2af840f8937a9aa125e7dca4
Canonical record JSON
{
"metadata": {
"abstract_canon_sha256": "ca0ca49541f0e78c31c20a7b039ee9ed74cf91e85e0bb1ab3d20f30424e20d9b",
"cross_cats_sorted": [
"gr-qc",
"hep-th",
"nucl-th",
"physics.flu-dyn"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"primary_cat": "hep-ph",
"submitted_at": "2015-07-28T16:35:07Z",
"title_canon_sha256": "31c0b44a12fc193f224289599280a6fad4c5cd61692dfab7e379cfc06318e0f0"
},
"schema_version": "1.0",
"source": {
"id": "1507.07834",
"kind": "arxiv",
"version": 2
}
}