Pith Number

pith:KIH7W2DL

pith:2017:KIH7W2DLIY7HGUGYZEWXV7BBPN

not attested not anchored not stored refs pending

Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schr\"odinger equation on $\mathbb{R}^3$

\'Arp\'ad B\'enyi, Oana Pocovnicu, Tadahiro Oh

arxiv:1709.01910 v2 · 2017-09-06 · 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{KIH7W2DLIY7HGUGYZEWXV7BBPN}

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	2026-05-18T00:04:08.201621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

520ffb686b463e7350d8c92d7afc217b624c971d62a9584b84ca2c5caf292612

Aliases

arxiv: 1709.01910 · arxiv_version: 1709.01910v2 · doi: 10.48550/arxiv.1709.01910 · pith_short_12: KIH7W2DLIY7H · pith_short_16: KIH7W2DLIY7HGUGY · pith_short_8: KIH7W2DL

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/KIH7W2DLIY7HGUGYZEWXV7BBPN \
  | 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: 520ffb686b463e7350d8c92d7afc217b624c971d62a9584b84ca2c5caf292612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f7470d927288b6c625c3018545ee382097367c6622df4813db3768210208ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-06T17:37:53Z",
    "title_canon_sha256": "2886722504102aa94df0f9b0767b90019a30977d44156770aa98be525e1cbed5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01910",
    "kind": "arxiv",
    "version": 2
  }
}