Pith Number

pith:57NE6BTH

pith:2018:57NE6BTHCEZ2OCDZV2YBXTILO6

not attested not anchored not stored refs pending

Quasi-invariant Gaussian measures for the cubic nonlinear Schr\"odinger equation with third order dispersion

Nikolay Tzvetkov, Tadahiro Oh, Yoshio Tsutsumi

arxiv:1805.08409 v2 · 2018-05-22 · 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{57NE6BTHCEZ2OCDZV2YBXTILO6}

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	2026-05-17T23:48:40.488486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efda4f06671133a70879aeb01bcd0b77ab89d51762d4e2a4303704487c742876

Aliases

arxiv: 1805.08409 · arxiv_version: 1805.08409v2 · doi: 10.48550/arxiv.1805.08409 · pith_short_12: 57NE6BTHCEZ2 · pith_short_16: 57NE6BTHCEZ2OCDZ · pith_short_8: 57NE6BTH

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/57NE6BTHCEZ2OCDZV2YBXTILO6 \
  | 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: efda4f06671133a70879aeb01bcd0b77ab89d51762d4e2a4303704487c742876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89a8b8dc82376c89c376f5a5de1b39a419767c82099cc969d2356bbbb3db62f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-22T05:57:20Z",
    "title_canon_sha256": "1540eeee0809c82083c1788bf3db370c509d799889e22d9f376e310f87af62d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08409",
    "kind": "arxiv",
    "version": 2
  }
}