Pith Number

pith:UNBOZY3P

pith:2015:UNBOZY3PM35XG2BEW56MDOKRLY

not attested not anchored not stored refs pending

One dimensional dissipative Boltzmann equation: measure solutions, cooling rate and self-similar profile

Bertrand Lods, Ricardo Alonso, V\'eronique Bagland, Yingda Cheng

arxiv:1505.07207 v1 · 2015-05-27 · 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{UNBOZY3PM35XG2BEW56MDOKRLY}

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	2026-05-18T02:02:05.312349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a342ece36f66fb736824b77cc1b9515e1a975e94a48da4e7f7bcd7500621a022

Aliases

arxiv: 1505.07207 · arxiv_version: 1505.07207v1 · doi: 10.48550/arxiv.1505.07207 · pith_short_12: UNBOZY3PM35X · pith_short_16: UNBOZY3PM35XG2BE · pith_short_8: UNBOZY3P

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/UNBOZY3PM35XG2BEW56MDOKRLY \
  | 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: a342ece36f66fb736824b77cc1b9515e1a975e94a48da4e7f7bcd7500621a022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ce3860c9e4f97d7ec5988f0ff01693a251c05960023e0655721e1f27c072cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-27T06:55:15Z",
    "title_canon_sha256": "01fc48863c307b5234bb4cc926804daca8fedac49b4aa2d4232533ae9f8effb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07207",
    "kind": "arxiv",
    "version": 1
  }
}