Pith Number

pith:DH33HAT4

pith:2014:DH33HAT47AF3VGKTLIDEQCZZUD

not attested not anchored not stored refs pending

Entropy dissipation estimates for the linear Boltzmann operator

Bertrand Lods, Jos\'e A. Ca\~nizo, Marzia Bisi

arxiv:1405.0366 v2 · 2014-05-02 · 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{DH33HAT47AF3VGKTLIDEQCZZUD}

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	2026-05-18T00:42:35.527325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f7b3827cf80bba99535a06480b39a0d1315bc82da39163af3e87c289a5c2b3

Aliases

arxiv: 1405.0366 · arxiv_version: 1405.0366v2 · doi: 10.48550/arxiv.1405.0366 · pith_short_12: DH33HAT47AF3 · pith_short_16: DH33HAT47AF3VGKT · pith_short_8: DH33HAT4

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/DH33HAT47AF3VGKTLIDEQCZZUD \
  | 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: 19f7b3827cf80bba99535a06480b39a0d1315bc82da39163af3e87c289a5c2b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b47c6493d0916b3ff7972ed0802d112b394bb8a790217b4eb062b6b4fb07546b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-02T09:33:02Z",
    "title_canon_sha256": "68f0f630441678e62ef0d4b82204c40620c25df69bd7f75cfc44e0c2a5340815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0366",
    "kind": "arxiv",
    "version": 2
  }
}