Pith Number

pith:EYZSLJTR

pith:2018:EYZSLJTRE3SJCRQ3ORSS7JUKOB

not attested not anchored not stored refs pending

The Boltzmann equation with time-periodic boundary temperature

Renjun Duan, Yong Wang, Zhu Zhang

arxiv:1807.07267 v1 · 2018-07-19 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EYZSLJTRE3SJCRQ3ORSS7JUKOB}

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	2026-05-18T00:10:20.698583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

263325a67126e491461b74652fa68a7048364c5935a437781308260df2670c87

Aliases

arxiv: 1807.07267 · arxiv_version: 1807.07267v1 · doi: 10.48550/arxiv.1807.07267 · pith_short_12: EYZSLJTRE3SJ · pith_short_16: EYZSLJTRE3SJCRQ3 · pith_short_8: EYZSLJTR

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/EYZSLJTRE3SJCRQ3ORSS7JUKOB \
  | 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: 263325a67126e491461b74652fa68a7048364c5935a437781308260df2670c87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3ec725caff3c7760459d73b2d31f0eeb0a7f3748c4c0935bb3ca11132980c18",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-19T07:18:56Z",
    "title_canon_sha256": "de5c0d266c893f7a8805ffd3ba768d64c445eed61a02a911cede7e23e7cb019f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07267",
    "kind": "arxiv",
    "version": 1
  }
}