Pith Number

pith:VMFKDFDH

pith:2012:VMFKDFDHFEN22XDN4FM7PRVN3C

not attested not anchored not stored refs pending

A class of summation formulas on generalized harmonic numbers

Chuanan Wei, Dianxuan Gong, Qinglun Yan

arxiv:1203.2866 v3 · 2012-03-13 · math.CO · 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{VMFKDFDHFEN22XDN4FM7PRVN3C}

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	2026-05-18T03:37:53.000864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab0aa19467291bad5c6de159f7c6add8865103833874206764bb0e8822651afe

Aliases

arxiv: 1203.2866 · arxiv_version: 1203.2866v3 · doi: 10.48550/arxiv.1203.2866 · pith_short_12: VMFKDFDHFEN2 · pith_short_16: VMFKDFDHFEN22XDN · pith_short_8: VMFKDFDH

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/VMFKDFDHFEN22XDN4FM7PRVN3C \
  | 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: ab0aa19467291bad5c6de159f7c6add8865103833874206764bb0e8822651afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7164e523298e82a4ec8daaa6ed33706abd7f5d48d287f2e59424a870bb803657",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-13T17:08:30Z",
    "title_canon_sha256": "68787c45d4dc2c461a252770362640803e4af723446f3d4b8491b90d5f7ba88e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2866",
    "kind": "arxiv",
    "version": 3
  }
}