Pith Number

pith:QPDGBKZC

pith:2017:QPDGBKZCR62ABJPJU554DLYY5R

not attested not anchored not stored refs pending

An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schr\"odinger equation

Nikolay Tzvetkov, Philippe Sosoe, Tadahiro Oh

arxiv:1707.01666 v2 · 2017-07-06 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPDGBKZCR62ABJPJU554DLYY5R}

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	2026-05-18T00:04:08.310158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83c660ab228fb400a5e9a77bc1af18ec41ad2bc6a0adafb2dbfef9c5aa082544

Aliases

arxiv: 1707.01666 · arxiv_version: 1707.01666v2 · doi: 10.48550/arxiv.1707.01666 · pith_short_12: QPDGBKZCR62A · pith_short_16: QPDGBKZCR62ABJPJ · pith_short_8: QPDGBKZC

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/QPDGBKZCR62ABJPJU554DLYY5R \
  | 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: 83c660ab228fb400a5e9a77bc1af18ec41ad2bc6a0adafb2dbfef9c5aa082544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "001faad9ada452b7bf26027216dd8b4dc9e1acf71a1c416b7a77a1e696efbea4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-06T07:51:22Z",
    "title_canon_sha256": "e9d73bfae89666a2f24b6eace10ea517fe22c2ce39a0daca12b7e7b100cf8108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01666",
    "kind": "arxiv",
    "version": 2
  }
}