Pith Number

pith:AEZIEVBG

pith:2015:AEZIEVBGQZ732NF55CLNIO4KSQ

not attested not anchored not stored refs pending

Convergence to equilibrium for linear spatially homogeneous Boltzmann equation with hard and soft potentials: a semigroup approach in $L^1$-spaces

Bertrand Lods, Mustapha Mokhtar-Kharroubi (LM-Besan\c{c}on)

arxiv:1510.02361 v1 · 2015-10-08 · 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{AEZIEVBGQZ732NF55CLNIO4KSQ}

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	2026-05-18T01:30:43.999458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0132825426867fbd34bde896d43b8a9406e78d07fbabdf920a52b8bad26777ad

Aliases

arxiv: 1510.02361 · arxiv_version: 1510.02361v1 · doi: 10.48550/arxiv.1510.02361 · pith_short_12: AEZIEVBGQZ73 · pith_short_16: AEZIEVBGQZ732NF5 · pith_short_8: AEZIEVBG

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/AEZIEVBGQZ732NF55CLNIO4KSQ \
  | 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: 0132825426867fbd34bde896d43b8a9406e78d07fbabdf920a52b8bad26777ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44cab5abb0c64fa6dce8109d6b7c094de690155b6e024c0210094c13da0da949",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-08T15:19:23Z",
    "title_canon_sha256": "173394ea53c8849e2a7efd0652f0a021127705ff5ddf5dd5db6241a45115b156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02361",
    "kind": "arxiv",
    "version": 1
  }
}