Pith Number

pith:MEMB6PV3

pith:2022:MEMB6PV3HS5IQLI2HH6M7FRM3I

not attested not anchored not stored refs pending

Propagation of moments and sharp convergence rate for inhomogeneous non-cutoff Boltzmann equation with soft potentials

Chuqi Cao, Jie Ji, Ling-Bing He

arxiv:2204.01394 v1 · 2022-04-04 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MEMB6PV3HS5IQLI2HH6M7FRM3I}

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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.

Cited by

1 paper in Pith

Fisher Information in Kinetic Theory

Receipt and verification

First computed	2026-07-05T04:11:18.425549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61181f3ebb3cba882d1a39fccf962cda169cb2e95088dcbf38d44a1979e28c22

Aliases

arxiv: 2204.01394 · arxiv_version: 2204.01394v1 · doi: 10.48550/arxiv.2204.01394 · pith_short_12: MEMB6PV3HS5I · pith_short_16: MEMB6PV3HS5IQLI2 · pith_short_8: MEMB6PV3

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/MEMB6PV3HS5IQLI2HH6M7FRM3I \
  | 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: 61181f3ebb3cba882d1a39fccf962cda169cb2e95088dcbf38d44a1979e28c22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b56c443597d2d7478f9560445733c9d499adbc314b290714e6bdc162fc058c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-04-04T11:21:44Z",
    "title_canon_sha256": "e35844d9ef8c1c6d7fac871e5336fe4b201208bca606732a7a796e567d20fb29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.01394",
    "kind": "arxiv",
    "version": 1
  }
}