Pith Number

pith:OMEKICKV

pith:2014:OMEKICKVF47ACU32XQCMOL7PEX

not attested not anchored not stored refs pending

Two congruences involving harmonic numbers with applications

Guo-Shuai Mao, Zhi-Wei Sun

arxiv:1412.0523 v2 · 2014-11-28 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OMEKICKVF47ACU32XQCMOL7PEX}

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	2026-05-18T01:20:03.779003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7308a409552f3e01537abc04c72fef25d591821b65c8fa2640e4a7555df79f73

Aliases

arxiv: 1412.0523 · arxiv_version: 1412.0523v2 · doi: 10.48550/arxiv.1412.0523 · pith_short_12: OMEKICKVF47A · pith_short_16: OMEKICKVF47ACU32 · pith_short_8: OMEKICKV

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/OMEKICKVF47ACU32XQCMOL7PEX \
  | 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: 7308a409552f3e01537abc04c72fef25d591821b65c8fa2640e4a7555df79f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff2bca244718a5c9862ae790070a93a77da16d9bcdb0b899a37b46dd2efde0f0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-28T14:07:57Z",
    "title_canon_sha256": "d0e8440bbb47382a52968b5b616b692c53ce4e263d872f18c2878856300438c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0523",
    "kind": "arxiv",
    "version": 2
  }
}