Pith Number

pith:WXMZR745

pith:2023:WXMZR745ZCJXWZJ5G5KMUD7UDB

not attested not anchored not stored refs pending

Global and local maximizers for some Fourier extension estimates on the sphere

Mateus Sousa, Valentina Ciccone

arxiv:2312.07309 v2 · 2023-12-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXMZR745ZCJXWZJ5G5KMUD7UDB}

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	2026-07-05T12:01:52.970551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d998ff9dc8937b653d3754ca0ff41860e6e1fb5799862517790dbbd0ed3235

Aliases

arxiv: 2312.07309 · arxiv_version: 2312.07309v2 · doi: 10.48550/arxiv.2312.07309 · pith_short_12: WXMZR745ZCJX · pith_short_16: WXMZR745ZCJXWZJ5 · pith_short_8: WXMZR745

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/WXMZR745ZCJXWZJ5G5KMUD7UDB \
  | 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: b5d998ff9dc8937b653d3754ca0ff41860e6e1fb5799862517790dbbd0ed3235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804908b24e014bfd858d25312b9561401eff0c42778f77f4fdc71670e1022e01",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-12-12T14:27:37Z",
    "title_canon_sha256": "5719052911842b5a57275caf8723dc426fff7ddb6b8582d31449045922ea5ca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.07309",
    "kind": "arxiv",
    "version": 2
  }
}