Pith Number

pith:4ITCTNDN

pith:2015:4ITCTNDNCLFS7XLMUYXPFZDNTF

not attested not anchored not stored refs pending

Global solutions in the critical Besov space for the non cutoff Boltzmann equation

Shota Sakamoto, Yoshinori Morimoto

arxiv:1512.00585 v1 · 2015-12-02 · 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{4ITCTNDNCLFS7XLMUYXPFZDNTF}

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	2026-05-18T01:25:25.620117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22629b46d12cb2fdd6ca62ef2e46d997549b32fa6b8e8e142e5634ce0ff832a

Aliases

arxiv: 1512.00585 · arxiv_version: 1512.00585v1 · doi: 10.48550/arxiv.1512.00585 · pith_short_12: 4ITCTNDNCLFS · pith_short_16: 4ITCTNDNCLFS7XLM · pith_short_8: 4ITCTNDN

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/4ITCTNDNCLFS7XLMUYXPFZDNTF \
  | 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: e22629b46d12cb2fdd6ca62ef2e46d997549b32fa6b8e8e142e5634ce0ff832a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75813be34320d711abc073c11c7201778dcd7ed682014dd9d0fc5322c98703a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-02T05:40:39Z",
    "title_canon_sha256": "4067eb88b8c73f1ab66addac06f8b994904a52438d95f3c2d8604c0895a7e571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00585",
    "kind": "arxiv",
    "version": 1
  }
}