Pith Number

pith:VPYFY455

pith:2018:VPYFY455L3PRFG4PKWM23ELFBT

not attested not anchored not stored refs pending

Decay estimates for large velocities in the Boltzmann equation without cutoff

Cl\'ement Mouhot, Cyril Imbert (DMA), Luis Silvestre

arxiv:1804.06135 v2 · 2018-04-17 · 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{VPYFY455L3PRFG4PKWM23ELFBT}

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	2026-05-17T23:49:57.322011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf05c73bd5edf129b8f5599ad91650cd3051c6d88b109c8d3081c266937e9fa

Aliases

arxiv: 1804.06135 · arxiv_version: 1804.06135v2 · doi: 10.48550/arxiv.1804.06135 · pith_short_12: VPYFY455L3PR · pith_short_16: VPYFY455L3PRFG4P · pith_short_8: VPYFY455

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/VPYFY455L3PRFG4PKWM23ELFBT \
  | 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: abf05c73bd5edf129b8f5599ad91650cd3051c6d88b109c8d3081c266937e9fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa08bba9de7fef056b698bf11dbb4a4721ed7dcf462e3614db4790868e488b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-17T09:45:42Z",
    "title_canon_sha256": "ea9e0d4a8bf7dd9e5cd6fe4c06b0e8a3f720b4a3f93f50c065f9e618a1140ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06135",
    "kind": "arxiv",
    "version": 2
  }
}