Pith Number

pith:3S2TKYPA

pith:2013:3S2TKYPA4T47X3XTEGKDSAF33U

not attested not anchored not stored refs pending

On the Radius of Analyticity of Solutions to the Cubic Szeg\"o Equation

Edriss S. Titi, Patrick Gerard, Yanqiu Guo

arxiv:1303.6148 v2 · 2013-03-25 · 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{3S2TKYPA4T47X3XTEGKDSAF33U}

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	2026-05-18T03:16:40.234728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcb53561e0e4f9fbeef321943900bbdd2aafb86a709375cc33b74bebe648ecc0

Aliases

arxiv: 1303.6148 · arxiv_version: 1303.6148v2 · doi: 10.48550/arxiv.1303.6148 · pith_short_12: 3S2TKYPA4T47 · pith_short_16: 3S2TKYPA4T47X3XT · pith_short_8: 3S2TKYPA

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/3S2TKYPA4T47X3XTEGKDSAF33U \
  | 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: dcb53561e0e4f9fbeef321943900bbdd2aafb86a709375cc33b74bebe648ecc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51457d8d42b54a7fde032dd9ee5b71112a65d3d8e12833bfe0345f6937a45847",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-25T14:53:18Z",
    "title_canon_sha256": "29fe148b1460a8d3c8735a4bad7d2da9b92c6ba70a5d7deb819b09137107d041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6148",
    "kind": "arxiv",
    "version": 2
  }
}