Pith Number

pith:EFHA3SHE

pith:2009:EFHA3SHETDN3SCDNSYDHGAMOST

not attested not anchored not stored refs pending

Arithmetic theory of harmonic numbers (II)

Li-Lu Zhao, Zhi-Wei Sun

arxiv:0911.4433 v8 · 2009-11-23 · 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{EFHA3SHETDN3SCDNSYDHGAMOST}

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	2026-05-18T03:08:27.556994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

214e0dc8e498dbb9086d960673018e94cf74048c8070e57552d8b5aafa4e06eb

Aliases

arxiv: 0911.4433 · arxiv_version: 0911.4433v8 · doi: 10.48550/arxiv.0911.4433 · pith_short_12: EFHA3SHETDN3 · pith_short_16: EFHA3SHETDN3SCDN · pith_short_8: EFHA3SHE

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/EFHA3SHETDN3SCDNSYDHGAMOST \
  | 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: 214e0dc8e498dbb9086d960673018e94cf74048c8070e57552d8b5aafa4e06eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe5d1e0895e01f91a58c317268b29ac2571e6f58ba5d02e9c36ecd20d480d71",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-23T19:27:44Z",
    "title_canon_sha256": "a58cad07c8e490482620d02c9ad1881e9893c098b66878e13c052246a9a702fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4433",
    "kind": "arxiv",
    "version": 8
  }
}