Pith Number

pith:PK62XZDJ

pith:2025:PK62XZDJS63XA7MUQ6AAE2AZDX

not attested not anchored not stored refs pending

On Hypothesis H of Rudnick and Sarnak

Yujiao Jiang

arxiv:2507.20653 v1 · 2025-07-28 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PK62XZDJS63XA7MUQ6AAE2AZDX}

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.

Cited by

2 papers in Pith

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions

Closed geodesics in short intervals for random hyperbolic surfaces

Receipt and verification

First computed	2026-07-05T11:44:23.569109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7abdabe46997b7707d9487800268191dc9c0599136c07cc18ec30df5571a9e63

Aliases

arxiv: 2507.20653 · arxiv_version: 2507.20653v1 · doi: 10.48550/arxiv.2507.20653 · pith_short_12: PK62XZDJS63X · pith_short_16: PK62XZDJS63XA7MU · pith_short_8: PK62XZDJ

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/PK62XZDJS63XA7MUQ6AAE2AZDX \
  | 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: 7abdabe46997b7707d9487800268191dc9c0599136c07cc18ec30df5571a9e63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dc7f1887196b5d8109a219ae78cf9df1725dc8c74743b2d08ae6aa6d7a17373",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-28T09:20:50Z",
    "title_canon_sha256": "ec467c6df877a9d57574a732dacac96bb3c53b787262e52703fd0d4eb30e1d32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20653",
    "kind": "arxiv",
    "version": 1
  }
}