Pith Number

pith:OAB6BNBU

pith:2015:OAB6BNBUWDXTTEESXQ5YYCF4BY

not attested not anchored not stored refs pending

On generalized harmonic numbers, Tornheim double series and linear Euler sums

Kunle Adegoke

arxiv:1511.03079 v3 · 2015-11-10 · 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{OAB6BNBUWDXTTEESXQ5YYCF4BY}

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.

Cited by

1 paper in Pith

Evaluation of eight different families of cubic Euler sums

Receipt and verification

First computed	2026-05-18T01:19:11.481210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7003e0b434b0ef399092bc3b8c08bc0e12b84d1d9422de0976d74a7261e041dd

Aliases

arxiv: 1511.03079 · arxiv_version: 1511.03079v3 · doi: 10.48550/arxiv.1511.03079 · pith_short_12: OAB6BNBUWDXT · pith_short_16: OAB6BNBUWDXTTEES · pith_short_8: OAB6BNBU

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/OAB6BNBUWDXTTEESXQ5YYCF4BY \
  | 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: 7003e0b434b0ef399092bc3b8c08bc0e12b84d1d9422de0976d74a7261e041dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "139a9c0c498ffdcbb6792d45ca55fcb9874b515681ea6982423e02f9a1c33bf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-10T12:17:29Z",
    "title_canon_sha256": "1c55c88689c66292eb041c3466822ddbd1684506ae5fefa47dd5cde04c3d5130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03079",
    "kind": "arxiv",
    "version": 3
  }
}