Pith Number

pith:FZDXANJW

pith:2015:FZDXANJWDDTUZLD4K4NCWET633

not attested not anchored not stored refs pending

On the Boltzmann equation with the symmetric stable Levy process

Yong-Kum Cho

arxiv:1510.08611 v1 · 2015-10-29 · 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{FZDXANJWDDTUZLD4K4NCWET633}

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	2026-05-18T01:28:28.294798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e4770353618e74cac7c571a2b127edefd0bd8741f6dc5e0af9afb30c61b3faa

Aliases

arxiv: 1510.08611 · arxiv_version: 1510.08611v1 · doi: 10.48550/arxiv.1510.08611 · pith_short_12: FZDXANJWDDTU · pith_short_16: FZDXANJWDDTUZLD4 · pith_short_8: FZDXANJW

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/FZDXANJWDDTUZLD4K4NCWET633 \
  | 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: 2e4770353618e74cac7c571a2b127edefd0bd8741f6dc5e0af9afb30c61b3faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b20ababf847b871739e6f40c561c13134519014385fa11be6a9225870e6d88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-29T09:23:55Z",
    "title_canon_sha256": "222210ae555e6afe4174221a54f15982ca727a5ae472dc67938f7208b990806f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08611",
    "kind": "arxiv",
    "version": 1
  }
}