Pith Number

pith:R7K37WYF

pith:2025:R7K37WYFK3B4NS77NPXBCT2ET5

not attested not anchored not stored refs pending

Counting w-coprime S-integers and S-integral ideals in positive characteristic

Jia-Yan Yao, Si-Han Liu, Zhe-Cheng Liu

arxiv:2508.10484 v2 · 2025-08-14 · 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{R7K37WYFK3B4NS77NPXBCT2ET5}

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	2026-06-24T01:14:21.622404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fd5bfdb0556c3c6cbff6bee114f449f6b5a507bf0274ab2fbd90b282d4b4c72

Aliases

arxiv: 2508.10484 · arxiv_version: 2508.10484v2 · doi: 10.48550/arxiv.2508.10484 · pith_short_12: R7K37WYFK3B4 · pith_short_16: R7K37WYFK3B4NS77 · pith_short_8: R7K37WYF

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/R7K37WYFK3B4NS77NPXBCT2ET5 \
  | 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: 8fd5bfdb0556c3c6cbff6bee114f449f6b5a507bf0274ab2fbd90b282d4b4c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b70422fc4087922f8ce3d0957ad7246d0a011c841d7d6da1fcd608553eae908c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-14T09:37:43Z",
    "title_canon_sha256": "7bc583b619b389ae85ee81daaed36cf0fe0c67f3653f6bb28f1cf3478a4db2d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.10484",
    "kind": "arxiv",
    "version": 2
  }
}