Pith Number

pith:4IJ3NJSN

pith:2009:4IJ3NJSNDQLWOAW67ATME67XEL

not attested not anchored not stored refs pending

The Szeg\"o Cubic Equation

Patrick G\'erard (UMR 8628), Sandrine Grellier (MAPMO)

arxiv:0906.4540 v1 · 2009-06-24 · math.CV · 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{4IJ3NJSNDQLWOAW67ATME67XEL}

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	2026-07-04T15:45:08.098674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e213b6a64d1c176702def826c27bf722c302a9f97d23e822b15948ddb04fe664

Aliases

arxiv: 0906.4540 · arxiv_version: 0906.4540v1 · doi: 10.48550/arxiv.0906.4540 · pith_short_12: 4IJ3NJSNDQLW · pith_short_16: 4IJ3NJSNDQLWOAW6 · pith_short_8: 4IJ3NJSN

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/4IJ3NJSNDQLWOAW67ATME67XEL \
  | 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: e213b6a64d1c176702def826c27bf722c302a9f97d23e822b15948ddb04fe664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d05d64ce1e78a528c6a428d126c645b13dd5f4a6325f53e832e4a1eba3c67f0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-06-24T18:39:15Z",
    "title_canon_sha256": "31b63fe67aa76520af7d569d558476eacf94c146ce53910b03d05712d9c1c049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4540",
    "kind": "arxiv",
    "version": 1
  }
}