Pith Number

pith:U4YHDQ6G

pith:2026:U4YHDQ6G2EI4VFYAGSTP66CK6J

not attested not anchored not stored refs pending

Fourier restriction to hyperbolic rectangles and an application

Kaiwen Jin

arxiv:2608.09871 v1 · 2026-08-10 · math.CA · 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{U4YHDQ6G2EI4VFYAGSTP66CK6J}

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	2026-08-11T02:25:18.316896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a73071c3c6d111ca970034a6ff784af25da04b685cf8470d2273671b50a95c45

Aliases

arxiv: 2608.09871 · arxiv_version: 2608.09871v1 · doi: 10.48550/arxiv.2608.09871 · pith_short_12: U4YHDQ6G2EI4 · pith_short_16: U4YHDQ6G2EI4VFYA · pith_short_8: U4YHDQ6G

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/U4YHDQ6G2EI4VFYAGSTP66CK6J \
  | 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: a73071c3c6d111ca970034a6ff784af25da04b685cf8470d2273671b50a95c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f063f8c44ee9a03042ded8c7e2e1e98a6af4384bd92a3c843a2e7292b92f4af",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-08-10T17:27:06Z",
    "title_canon_sha256": "e9b1428d5dba6c16a2eeca239ffd74b3b65b94904fcd79cf327a7256b231083d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09871",
    "kind": "arxiv",
    "version": 1
  }
}