Pith Number

pith:7EBFKRJ4

pith:2013:7EBFKRJ4TMPUKC6HRRE7FT7VBI

not attested not anchored not stored refs pending

On measure solutions of the Boltzmann equation, Part II: Rate of convergence to equilibrium

Cl\'ement Mouhot, Lu Xuguang

arxiv:1306.0764 v2 · 2013-06-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EBFKRJ4TMPUKC6HRRE7FT7VBI}

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	2026-05-18T02:28:48.259473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f90255453c9b1f450bc78c49f2cff50a1c05b2d767deae391c973d2c4d54e577

Aliases

arxiv: 1306.0764 · arxiv_version: 1306.0764v2 · doi: 10.48550/arxiv.1306.0764 · pith_short_12: 7EBFKRJ4TMPU · pith_short_16: 7EBFKRJ4TMPUKC6H · pith_short_8: 7EBFKRJ4

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/7EBFKRJ4TMPUKC6HRRE7FT7VBI \
  | 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: f90255453c9b1f450bc78c49f2cff50a1c05b2d767deae391c973d2c4d54e577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f34bc5c49f662100ceb4eee2580319589f4fa064812fd69c62f88314f3cf9a54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-04T12:56:17Z",
    "title_canon_sha256": "9c52cc92a03758c22725f80bfba2646bf72c72d392d2d0b240d03c284ce2db18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0764",
    "kind": "arxiv",
    "version": 2
  }
}