Pith Number

pith:R5UO2KP5

pith:2013:R5UO2KP5EZDH25VG5V63UWJXJH

not attested not anchored not stored refs pending

An arithmetic interpretation of generalized Li's criterion

Sergey K. Sekatskii

arxiv:1305.1421 v3 · 2013-05-07 · 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{R5UO2KP5EZDH25VG5V63UWJXJH}

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	2026-05-18T00:15:05.905883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f68ed29fd26467d76a6ed7dba593749f104cc5158108d994ca7a0b445609b62

Aliases

arxiv: 1305.1421 · arxiv_version: 1305.1421v3 · doi: 10.48550/arxiv.1305.1421 · pith_short_12: R5UO2KP5EZDH · pith_short_16: R5UO2KP5EZDH25VG · pith_short_8: R5UO2KP5

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/R5UO2KP5EZDH25VG5V63UWJXJH \
  | 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: 8f68ed29fd26467d76a6ed7dba593749f104cc5158108d994ca7a0b445609b62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bfe6285bb8c30a407f3742b2ab40dc57c569bc91466ea60cd536d89f0b9786f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-07T06:30:58Z",
    "title_canon_sha256": "dd00626fd37f3c276a611d1e1dbb00f51210afadf4fdddbc98eab59501d47968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1421",
    "kind": "arxiv",
    "version": 3
  }
}