Pith Number

pith:FYEFBOCK

pith:2026:FYEFBOCK7V5FUNSGIAILTNCM3Q

not attested not anchored not stored refs pending

General duality relations for hypergeometric and basic hypergeometric series

Dmitrii Karp, Yi Zhang

arxiv:2606.18904 v1 · 2026-06-17 · 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{FYEFBOCK7V5FUNSGIAILTNCM3Q}

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	2026-06-19T16:11:51.451782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e0850b84afd7a5a36464010b9b44cdc1ea4205d701f41c432183be582979982

Aliases

arxiv: 2606.18904 · arxiv_version: 2606.18904v1 · doi: 10.48550/arxiv.2606.18904 · pith_short_12: FYEFBOCK7V5F · pith_short_16: FYEFBOCK7V5FUNSG · pith_short_8: FYEFBOCK

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/FYEFBOCK7V5FUNSGIAILTNCM3Q \
  | 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: 2e0850b84afd7a5a36464010b9b44cdc1ea4205d701f41c432183be582979982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf2d5d3456478df5655dd67e2a403711f11bb5f3600087a36ece2aeb543cf49a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-17T10:29:24Z",
    "title_canon_sha256": "5ff694f53a76e9c5d72010703acef1e1e0ffe56396b47f21efaa0bab7a28d498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18904",
    "kind": "arxiv",
    "version": 1
  }
}