Pith Number

pith:3JILDTPH

pith:2013:3JILDTPH4PIHDGD3V2DL5AYTF2

not attested not anchored not stored refs pending

Nonlinear PDEs with modulated dispersion I: Nonlinear Schr\"odinger equations

K. Chouk, M. Gubinelli

arxiv:1303.0822 v3 · 2013-03-04 · 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{3JILDTPH4PIHDGD3V2DL5AYTF2}

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	2026-05-18T02:28:29.491618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da50b1cde7e3d071987bae86be83132ebd72792e0e705f8c9c2d40ac308e3b16

Aliases

arxiv: 1303.0822 · arxiv_version: 1303.0822v3 · doi: 10.48550/arxiv.1303.0822 · pith_short_12: 3JILDTPH4PIH · pith_short_16: 3JILDTPH4PIHDGD3 · pith_short_8: 3JILDTPH

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/3JILDTPH4PIHDGD3V2DL5AYTF2 \
  | 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: da50b1cde7e3d071987bae86be83132ebd72792e0e705f8c9c2d40ac308e3b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad402a82b05a464696610bef3525807d5ffca969449225382c430687d14f8ec5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-04T20:50:20Z",
    "title_canon_sha256": "41c2ae6040b4b6b2e2fe506e261c414d4ac49c0b4a689053dec419ac9c0cd439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0822",
    "kind": "arxiv",
    "version": 3
  }
}