Pith Number

pith:PBU7MFRO

pith:2013:PBU7MFROIVF4XKKZWKALMUEL2X

not attested not anchored not stored refs pending

Large time blow up for a perturbation of the cubic Szeg\H{o} equation

Haiyan Xu (LM-Orsay)

arxiv:1307.5284 v3 · 2013-07-19 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBU7MFROIVF4XKKZWKALMUEL2X}

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	2026-05-18T01:22:25.181154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7869f6162e454bcba959b280b6508bd5d48d38d9102bf764b74c5d7e99adb284

Aliases

arxiv: 1307.5284 · arxiv_version: 1307.5284v3 · doi: 10.48550/arxiv.1307.5284 · pith_short_12: PBU7MFROIVF4 · pith_short_16: PBU7MFROIVF4XKKZ · pith_short_8: PBU7MFRO

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/PBU7MFROIVF4XKKZWKALMUEL2X \
  | 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: 7869f6162e454bcba959b280b6508bd5d48d38d9102bf764b74c5d7e99adb284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "603a32504ad356b799b39ca94cba5eea431aff10f70aa96311e4c6947be33128",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-19T17:23:26Z",
    "title_canon_sha256": "878b87e8eeba720703a33e84415216f8ec01ea0aded3c0ab91ed06ea4a084e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5284",
    "kind": "arxiv",
    "version": 3
  }
}