Pith Number

pith:FPW5BXVD

pith:2025:FPW5BXVDGKM2M4ERECIQ734COM

not attested not anchored not stored refs pending

Strichartz estimates involving orthonormal systems at the critical summability exponent

Guoxia Feng, Huoxiong Wu, Manli Song

arxiv:2507.14974 v1 · 2025-07-20 · 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{FPW5BXVDGKM2M4ERECIQ734COM}

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	2026-07-05T11:40:16.101654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bedd0dea33299a6709120910fef82732e7ec839fd5ec9b9989296ff91b49be0

Aliases

arxiv: 2507.14974 · arxiv_version: 2507.14974v1 · doi: 10.48550/arxiv.2507.14974 · pith_short_12: FPW5BXVDGKM2 · pith_short_16: FPW5BXVDGKM2M4ER · pith_short_8: FPW5BXVD

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/FPW5BXVDGKM2M4ERECIQ734COM \
  | 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: 2bedd0dea33299a6709120910fef82732e7ec839fd5ec9b9989296ff91b49be0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae23addd6956a8b927edb0d3665219bb077a6771d56c3055f4e5dc493d3e863",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-20T14:13:17Z",
    "title_canon_sha256": "25996e610b2fb8fbf5186e1662b680ca1c953f2e9a46edbae651f4092657fbf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14974",
    "kind": "arxiv",
    "version": 1
  }
}