Pith Number

pith:PPTXI3US

pith:2015:PPTXI3USY5LSFSMOWNBWGKQG3C

not attested not anchored not stored refs pending

The cubic szego equation and hankel operators

Patrick Gerard (LM-Orsay), Sandrine Grellier (MAPMO)

arxiv:1508.06814 v1 · 2015-08-27 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPTXI3USY5LSFSMOWNBWGKQG3C}

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	2026-05-18T01:34:40.947430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be7746e92c75722c98eb343632a06d8aedd2b871aea51305379655c81538cb4

Aliases

arxiv: 1508.06814 · arxiv_version: 1508.06814v1 · doi: 10.48550/arxiv.1508.06814 · pith_short_12: PPTXI3USY5LS · pith_short_16: PPTXI3USY5LSFSMO · pith_short_8: PPTXI3US

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/PPTXI3USY5LSFSMOWNBWGKQG3C \
  | 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: 7be7746e92c75722c98eb343632a06d8aedd2b871aea51305379655c81538cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e7142b4f28b0d0d42035abea551d115fcd72c97879d2f72565ee753edd5d516",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-27T11:43:06Z",
    "title_canon_sha256": "0b1239e4e627314947e12aebd1193258257ad7323a2618ab037a4e43f0c1d38c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06814",
    "kind": "arxiv",
    "version": 1
  }
}