Pith Number

pith:JXXQIOV3

pith:2008:JXXQIOV34G3YJBEXHAJ7LNTOXK

not attested not anchored not stored refs pending

Weakly turbulent solutions for the cubic defocusing nonlinear Schr\"odinger equation

G. Staffilani, H. Takaoka, J. Colliander, M. Keel, T. Tao

arxiv:0808.1742 v2 · 2008-08-13 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXXQIOV34G3YJBEXHAJ7LNTOXK}

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.

Cited by

1 paper in Pith

A superintegrable quantum field theory

Receipt and verification

First computed	2026-07-04T15:13:38.959346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4def043abbe1b78484973813f5b66ebabf80402709597446aa7e893b20c662ab

Aliases

arxiv: 0808.1742 · arxiv_version: 0808.1742v2 · doi: 10.48550/arxiv.0808.1742 · pith_short_12: JXXQIOV34G3Y · pith_short_16: JXXQIOV34G3YJBEX · pith_short_8: JXXQIOV3

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/JXXQIOV34G3YJBEXHAJ7LNTOXK \
  | 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: 4def043abbe1b78484973813f5b66ebabf80402709597446aa7e893b20c662ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c94b8a702a203337addd51a8412181ff5e63964e12ee447f766bb236edded7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-08-13T02:48:52Z",
    "title_canon_sha256": "a5d2fcd425095711e2412bc08c1067c2ac8635a603918508687b041710b73d29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1742",
    "kind": "arxiv",
    "version": 2
  }
}