Pith Number

pith:SKWPFOL3

pith:2014:SKWPFOL3NLUVWGJCFWBUMTBEGI

not attested not anchored not stored refs pending

Some remarks on the homogeneous Boltzmann equation with the fractional Laplacian term

Shota Sakamoto

arxiv:1410.8677 v1 · 2014-10-31 · 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{SKWPFOL3NLUVWGJCFWBUMTBEGI}

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	2026-05-18T02:38:53.957906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92acf2b97b6ae95b19222d83464c2432002f6968e54b6fcfa22a007d4eeaff90

Aliases

arxiv: 1410.8677 · arxiv_version: 1410.8677v1 · doi: 10.48550/arxiv.1410.8677 · pith_short_12: SKWPFOL3NLUV · pith_short_16: SKWPFOL3NLUVWGJC · pith_short_8: SKWPFOL3

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/SKWPFOL3NLUVWGJCFWBUMTBEGI \
  | 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: 92acf2b97b6ae95b19222d83464c2432002f6968e54b6fcfa22a007d4eeaff90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f87489e7489220e8f5b865d1ddfe7a92cce14ed468c3ba69ef4f29d85ec5c9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-31T09:02:35Z",
    "title_canon_sha256": "53acb07f07a9743c21ae35cb151ab0ca2bf7ce3ead1ee1a8331a5aa7a37f5474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8677",
    "kind": "arxiv",
    "version": 1
  }
}