Pith Number

pith:HZMBJVYC

pith:2010:HZMBJVYCI7XPUUFSHLSIHRF544

not attested not anchored not stored refs pending

Optimal time decay of the non cut-off Boltzmann equation in the whole space

Robert M. Strain

arxiv:1011.5561 v4 · 2010-11-25 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZMBJVYCI7XPUUFSHLSIHRF544}

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	2026-05-18T01:20:22.615904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e5814d70247eefa50b23ae483c4bde7351391cbd180025463ce911191dc7568

Aliases

arxiv: 1011.5561 · arxiv_version: 1011.5561v4 · doi: 10.48550/arxiv.1011.5561 · pith_short_12: HZMBJVYCI7XP · pith_short_16: HZMBJVYCI7XPUUFS · pith_short_8: HZMBJVYC

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/HZMBJVYCI7XPUUFSHLSIHRF544 \
  | 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: 3e5814d70247eefa50b23ae483c4bde7351391cbd180025463ce911191dc7568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f5ef0291b87face87461ad7a5c7e1e3efe4670eadad68f75a4f92e8a5bafe50",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-25T08:03:56Z",
    "title_canon_sha256": "6e40147871eb0d6dcd0356266e23ec0cf7597c82df26e2b280c641a7da1e3423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5561",
    "kind": "arxiv",
    "version": 4
  }
}