Pith Number

pith:QVFQCNTM

pith:2013:QVFQCNTMNQITXSSXANPKOCFFZE

not attested not anchored not stored refs pending

An explicit formula for the cubic Szeg\"o equation

Patrick G\'erard (LM-Orsay), Sandrine Grellier (MAPMO)

arxiv:1304.2619 v1 · 2013-04-09 · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVFQCNTMNQITXSSXANPKOCFFZE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:28:31.280775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

854b01366c6c113bca57035ea708a5c90181e63437f8c8e8640869ff8740a4d5

Aliases

arxiv: 1304.2619 · arxiv_version: 1304.2619v1 · doi: 10.48550/arxiv.1304.2619 · pith_short_12: QVFQCNTMNQIT · pith_short_16: QVFQCNTMNQITXSSX · pith_short_8: QVFQCNTM

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/QVFQCNTMNQITXSSXANPKOCFFZE \
  | 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: 854b01366c6c113bca57035ea708a5c90181e63437f8c8e8640869ff8740a4d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2695286793e1a417b5e431e03e9a7bb634db5b5f3d3ce4c1c01db868762e661e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-09T14:45:20Z",
    "title_canon_sha256": "c6efdd3086843565b99cc9fbf583c47bfe51e3d7fa9ce85a71429f2f5d39305f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2619",
    "kind": "arxiv",
    "version": 1
  }
}