Pith Number

pith:2INERSLS

pith:2010:2INERSLS7OUIT5TXIFKBYDN3ZR

not attested not anchored not stored refs pending

Sums of generalized harmonic series for kids from five to fifteen

Z.K. Silagadze

arxiv:1003.3602 v2 · 2010-03-16 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2INERSLS7OUIT5TXIFKBYDN3ZR}

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	2026-05-18T01:32:19.389917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d21a48c972fba889f67741541c0dbbcc6e821e0be1744a94d13c702fcd80067d

Aliases

arxiv: 1003.3602 · arxiv_version: 1003.3602v2 · doi: 10.48550/arxiv.1003.3602 · pith_short_12: 2INERSLS7OUI · pith_short_16: 2INERSLS7OUIT5TX · pith_short_8: 2INERSLS

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/2INERSLS7OUIT5TXIFKBYDN3ZR \
  | 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: d21a48c972fba889f67741541c0dbbcc6e821e0be1744a94d13c702fcd80067d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a7aee052b50a550385ff63d4cea0e070b9515df408e2ad45f6b28d4e37c8a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-16T12:29:52Z",
    "title_canon_sha256": "1441bd67589dcaa438775184ab6005c528c318461128d948cffd3c47b8928c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3602",
    "kind": "arxiv",
    "version": 2
  }
}