Pith Number

pith:ZBDUUVFQ

pith:2015:ZBDUUVFQMRRKETQDOZAOXFNWTX

not attested not anchored not stored refs pending

Existence of mild solutions for the Hamilton-Jacobi equation with critical fractional viscosity in the Besov spaces

Tatsuki Kawakami, Tsukasa Iwabuchi

arxiv:1509.05540 v1 · 2015-09-18 · 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{ZBDUUVFQMRRKETQDOZAOXFNWTX}

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	2026-05-18T01:32:42.888133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8474a54b06462a24e037640eb95b69dd4a338e62e551c97407753c22c5502f1

Aliases

arxiv: 1509.05540 · arxiv_version: 1509.05540v1 · doi: 10.48550/arxiv.1509.05540 · pith_short_12: ZBDUUVFQMRRK · pith_short_16: ZBDUUVFQMRRKETQD · pith_short_8: ZBDUUVFQ

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/ZBDUUVFQMRRKETQDOZAOXFNWTX \
  | 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: c8474a54b06462a24e037640eb95b69dd4a338e62e551c97407753c22c5502f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c09ebe92e7653e702641944b7334b1f0d4868b4d39578d89719682593408b10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-18T08:24:07Z",
    "title_canon_sha256": "160e7869e36708c301314a78a77932a643376223e4abe68c2532aba8a27016dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05540",
    "kind": "arxiv",
    "version": 1
  }
}