Pith Number

pith:PFT3NK7J

pith:2019:PFT3NK7J5DZ4SBPN3JTVJSSHIE

not attested not anchored not stored refs pending

A new identity for a sum of products of the generalized hypergeometric functions

Alexey Kuznetsov, Dmitrii Karp

arxiv:1906.04975 v1 · 2019-06-12 · 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{PFT3NK7J5DZ4SBPN3JTVJSSHIE}

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	2026-05-17T23:43:29.880424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7967b6abe9e8f3c905edda6754ca4741248147022edc5601df91ee5ab57e23ec

Aliases

arxiv: 1906.04975 · arxiv_version: 1906.04975v1 · doi: 10.48550/arxiv.1906.04975 · pith_short_12: PFT3NK7J5DZ4 · pith_short_16: PFT3NK7J5DZ4SBPN · pith_short_8: PFT3NK7J

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/PFT3NK7J5DZ4SBPN3JTVJSSHIE \
  | 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: 7967b6abe9e8f3c905edda6754ca4741248147022edc5601df91ee5ab57e23ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7937c307bf27808fdea7dac5f07ecb9ff2a72554bc4f5fde6857c370cf3c516",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-06-12T07:11:44Z",
    "title_canon_sha256": "2b74fb56b2c5c9f7127493ef6817e31502504b1ee924b3c08c1f3d0cdcdf2adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04975",
    "kind": "arxiv",
    "version": 1
  }
}