Pith Number

pith:Z3L6GHSH

pith:2014:Z3L6GHSHEHBQYJMGS63E72JA25

not attested not anchored not stored refs pending

Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation

Chao-Jiang Xu (LMRS), Hao-Guang Li, Leo Glangetas (LMRS)

arxiv:1412.0185 v4 · 2014-11-30 · 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{Z3L6GHSHEHBQYJMGS63E72JA25}

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	2026-05-18T01:26:49.024358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced7e31e4721c30c258697b64fe920d746bea87eebc4172de1a28790806eae9a

Aliases

arxiv: 1412.0185 · arxiv_version: 1412.0185v4 · doi: 10.48550/arxiv.1412.0185 · pith_short_12: Z3L6GHSHEHBQ · pith_short_16: Z3L6GHSHEHBQYJMG · pith_short_8: Z3L6GHSH

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/Z3L6GHSHEHBQYJMGS63E72JA25 \
  | 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: ced7e31e4721c30c258697b64fe920d746bea87eebc4172de1a28790806eae9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "555978b9479ce2c506efb4076e4108a0dcc97cac2607e214166bcef24d06b419",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-30T06:57:46Z",
    "title_canon_sha256": "3a66c28ecc556059cc693d67c332a8ea14a7e9ada736e810057a2618bd2f866e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0185",
    "kind": "arxiv",
    "version": 4
  }
}