Pith Number

pith:UBWHQ64S

pith:2011:UBWHQ64SITDADLEJS2LFMOOECN

not attested not anchored not stored refs pending

Hypocoercivity for the linear Boltzmann equation with confining forces

Renjun Duan, Wei-Xi Li

arxiv:1112.1457 v1 · 2011-12-07 · 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{UBWHQ64SITDADLEJS2LFMOOECN}

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	2026-05-18T01:59:15.994926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a06c787b9244c601ac8996965639c4137c5aa712eca248906c47d838b7f4f6af

Aliases

arxiv: 1112.1457 · arxiv_version: 1112.1457v1 · doi: 10.48550/arxiv.1112.1457 · pith_short_12: UBWHQ64SITDA · pith_short_16: UBWHQ64SITDADLEJ · pith_short_8: UBWHQ64S

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/UBWHQ64SITDADLEJS2LFMOOECN \
  | 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: a06c787b9244c601ac8996965639c4137c5aa712eca248906c47d838b7f4f6af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3baa856adeba2dbbdf5ca9fe14dc4e8fb796f4823a3351cbb269cd08f24ff591",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-07T01:42:06Z",
    "title_canon_sha256": "f6afeec2c10ff2c1daacc3fb143171f0ff90c1b5ea8ab0828bd4ed594673ea7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1457",
    "kind": "arxiv",
    "version": 1
  }
}