Pith Number

pith:CCPJ4MTT

pith:2018:CCPJ4MTTQVBLG334COJPXE6MOE

not attested not anchored not stored refs pending

Blow-up criteria for fractional nonlinear Schr\"odinger equation

Van Duong Dinh

arxiv:1808.07368 v1 · 2018-08-21 · 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{CCPJ4MTTQVBLG334COJPXE6MOE}

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	2026-05-18T00:07:29.056355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109e9e32738542b36f7c1392fb93cc713450b564885d3798617ba3a82f564240

Aliases

arxiv: 1808.07368 · arxiv_version: 1808.07368v1 · doi: 10.48550/arxiv.1808.07368 · pith_short_12: CCPJ4MTTQVBL · pith_short_16: CCPJ4MTTQVBLG334 · pith_short_8: CCPJ4MTT

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/CCPJ4MTTQVBLG334COJPXE6MOE \
  | 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: 109e9e32738542b36f7c1392fb93cc713450b564885d3798617ba3a82f564240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc898c9e3e92ab7722af27854829dc3bfb48c45c928509104d16733026de2440",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-21T14:22:10Z",
    "title_canon_sha256": "6f4cc62cd039b071a097d412360e83750f031570c30e309d417bba15e1bc8048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07368",
    "kind": "arxiv",
    "version": 1
  }
}