Pith Number

pith:5OAIL5FS

pith:2025:5OAIL5FSKX3QCR77JOPXOX4WL3

not attested not anchored not stored refs pending

Truncated Hypergeometric Functions and Discretized Integrals

Shuji Yamamoto

arxiv:2507.19793 v1 · 2025-07-26 · 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{5OAIL5FSKX3QCR77JOPXOX4WL3}

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	2026-07-05T11:43:42.090699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb8085f4b255f70147ff4b9f775f965ed1c03b1b1e1f7e0862365b467c753f32

Aliases

arxiv: 2507.19793 · arxiv_version: 2507.19793v1 · doi: 10.48550/arxiv.2507.19793 · pith_short_12: 5OAIL5FSKX3Q · pith_short_16: 5OAIL5FSKX3QCR77 · pith_short_8: 5OAIL5FS

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/5OAIL5FSKX3QCR77JOPXOX4WL3 \
  | 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: eb8085f4b255f70147ff4b9f775f965ed1c03b1b1e1f7e0862365b467c753f32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03267567677306a79c5c750a61de0813692d5cf81c99d84a11d7cd401392a6cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-26T04:44:13Z",
    "title_canon_sha256": "fb32e8e003cadd5757a0d1a2ff2c78c4a31a57102ba513f81dcea01f0f5e213b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19793",
    "kind": "arxiv",
    "version": 1
  }
}