Pith Number

pith:JULQVKWS

pith:2025:JULQVKWSSDYYXH6XPTVPZQSAKM

not attested not anchored not stored refs pending

The fourth moment of holomorphic Hecke cusp forms in shorter intervals

Jinghai Liu

arxiv:2501.10971 v1 · 2025-01-19 · 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{JULQVKWSSDYYXH6XPTVPZQSAKM}

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	2026-07-05T10:03:01.434901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d170aaad290f18b9fd77ceafcc240533e4de4e42948a9fca0423fcd618a80b5

Aliases

arxiv: 2501.10971 · arxiv_version: 2501.10971v1 · doi: 10.48550/arxiv.2501.10971 · pith_short_12: JULQVKWSSDYY · pith_short_16: JULQVKWSSDYYXH6X · pith_short_8: JULQVKWS

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/JULQVKWSSDYYXH6XPTVPZQSAKM \
  | 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: 4d170aaad290f18b9fd77ceafcc240533e4de4e42948a9fca0423fcd618a80b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "043676f2f01453e7fff8ccbf7bcc01f96a8cc28c258d5ab6f5ec27d1204b7334",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-19T07:17:04Z",
    "title_canon_sha256": "2d530203f8f7bfec2e08773a313221d4dfe90e625d05178936d7107413c40657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10971",
    "kind": "arxiv",
    "version": 1
  }
}