pith. sign in
Pith Number

pith:OUL3HXIK

pith:2022:OUL3HXIKKFUBSN3UZGOXOOHM47
not attested not anchored not stored refs pending

On an $L^2$ critical Boltzmann equation

Nata\v{s}a Pavlovi\'c, Ryan Denlinger, Thomas Chen

arxiv:2207.07820 v2 · 2022-07-16 · math.AP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OUL3HXIKKFUBSN3UZGOXOOHM47}

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 2026-06-09T01:05:02.307867Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7517b3dd0a5168193774c99d7738ece7d99e597e13c1b6b823c6a81a10b2005b

Aliases

arxiv: 2207.07820 · arxiv_version: 2207.07820v2 · doi: 10.48550/arxiv.2207.07820 · pith_short_12: OUL3HXIKKFUB · pith_short_16: OUL3HXIKKFUBSN3U · pith_short_8: OUL3HXIK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OUL3HXIKKFUBSN3UZGOXOOHM47 \
  | 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: 7517b3dd0a5168193774c99d7738ece7d99e597e13c1b6b823c6a81a10b2005b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "390bf512146088b548b99f2cf069bd5e3eb52dba887feb72329a37bbcaff38bc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-07-16T03:04:47Z",
    "title_canon_sha256": "6d848f505897c5dd910a17e3caba585045a1518bd179f18f86c94b67abe4dfe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07820",
    "kind": "arxiv",
    "version": 2
  }
}