Pith Number

pith:S4REKD5G

pith:2019:S4REKD5GPW3IA7D4J6XJGNMNQ3

not attested not anchored not stored refs pending

Cercignani-Lampis boundary in the Boltzmann theory

Hongxu Chen

arxiv:1906.01808 v1 · 2019-06-05 · 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{S4REKD5GPW3IA7D4J6XJGNMNQ3}

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	2026-07-05T03:23:03.145221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9722450fa67db6807c7c4fae93358d86dd8e7796c74b54e0b311a9261d33b2a9

Aliases

arxiv: 1906.01808 · arxiv_version: 1906.01808v1 · doi: 10.48550/arxiv.1906.01808 · pith_short_12: S4REKD5GPW3I · pith_short_16: S4REKD5GPW3IA7D4 · pith_short_8: S4REKD5G

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/S4REKD5GPW3IA7D4J6XJGNMNQ3 \
  | 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: 9722450fa67db6807c7c4fae93358d86dd8e7796c74b54e0b311a9261d33b2a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce84839371d3ad8f0c352dc010d8c9ecb5d5904feec097d351cf8bd0e9190093",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-05T03:28:23Z",
    "title_canon_sha256": "9bc91e97e912309e546da146265f9ca49397bcf5c40a6073593a0c76c6a3a45b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01808",
    "kind": "arxiv",
    "version": 1
  }
}