Pith Number

pith:OOW2VQRA

pith:2026:OOW2VQRAYZ3WYGRH3DRBWMHFEX

not attested not anchored not stored refs pending

On a Class of Hypergeometric Sums via Recurrences and Product Binomial-Harmonic Identities

Narendra Bhandari

arxiv:2607.10135 v1 · 2026-07-11 · math.NT · 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{OOW2VQRAYZ3WYGRH3DRBWMHFEX}

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	2026-07-14T01:20:27.069719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73adaac220c6776c1a27d8e21b30e525c306fb7cf495356992ea5aa4e4d16c9e

Aliases

arxiv: 2607.10135 · arxiv_version: 2607.10135v1 · doi: 10.48550/arxiv.2607.10135 · pith_short_12: OOW2VQRAYZ3W · pith_short_16: OOW2VQRAYZ3WYGRH · pith_short_8: OOW2VQRA

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/OOW2VQRAYZ3WYGRH3DRBWMHFEX \
  | 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: 73adaac220c6776c1a27d8e21b30e525c306fb7cf495356992ea5aa4e4d16c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ad644972da51d6cee03961e3b77b40195a71b8e6b6189589d93dac560da292",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-11T05:49:28Z",
    "title_canon_sha256": "6bae0eccd3a7b618e538b46b1b6a3b9baf5e447a51854a1d30093e0e617890c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10135",
    "kind": "arxiv",
    "version": 1
  }
}