Pith Number

pith:XRYWLLLK

pith:2017:XRYWLLLK2JEG7WU47CTXVJON6H

not attested not anchored not stored refs pending

Upper bound for lifespan of solutions to certain semilinear parabolic, dispersive and hyperbolic equations via a unified test function method

Masahiro Ikeda, Motohiro Sobajima

arxiv:1710.06780 v2 · 2017-10-18 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XRYWLLLK2JEG7WU47CTXVJON6H}

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	2026-05-18T00:14:59.835118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc7165ad6ad2486fda9cf8a77aa5cdf1ce0d127a540c5d0865873a21f3bae126

Aliases

arxiv: 1710.06780 · arxiv_version: 1710.06780v2 · doi: 10.48550/arxiv.1710.06780 · pith_short_12: XRYWLLLK2JEG · pith_short_16: XRYWLLLK2JEG7WU4 · pith_short_8: XRYWLLLK

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/XRYWLLLK2JEG7WU47CTXVJON6H \
  | 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: bc7165ad6ad2486fda9cf8a77aa5cdf1ce0d127a540c5d0865873a21f3bae126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "986b29ac42b79bd1001cbd2b562ac571d226f671c72e40cdcbc6511b6d1dc6f9",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-18T15:23:58Z",
    "title_canon_sha256": "db37f0bff3be67c718af353410acc97562c08300af8a1ab295ed5fc8f7dc7f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06780",
    "kind": "arxiv",
    "version": 2
  }
}