Pith Number

pith:F7SEBEZO

pith:2013:F7SEBEZOKZMVJYMFQIB3HHOJ72

not attested not anchored not stored refs pending

On certain hypergeometric identities deducible by using beta integral method

Adel K. Ibrahim, Arjun K. Rathie, Medhat A. Rakha

arxiv:1308.3083 v1 · 2013-08-14 · math.CV · 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{F7SEBEZOKZMVJYMFQIB3HHOJ72}

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	2026-05-18T03:15:56.720486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fe440932e565954e1858203b39dc9fe9dffef894fe8833efbaf7106a6a9391f

Aliases

arxiv: 1308.3083 · arxiv_version: 1308.3083v1 · doi: 10.48550/arxiv.1308.3083 · pith_short_12: F7SEBEZOKZMV · pith_short_16: F7SEBEZOKZMVJYMF · pith_short_8: F7SEBEZO

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/F7SEBEZOKZMVJYMFQIB3HHOJ72 \
  | 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: 2fe440932e565954e1858203b39dc9fe9dffef894fe8833efbaf7106a6a9391f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fcda94c581e7336629d0e4e6765de8304fa25c5f7cc56ea3bff18da56172b59",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-08-14T10:51:14Z",
    "title_canon_sha256": "b4e04a8a644b9a8f25064d6a74eedb277ab81683a4d9bcb7b87e72e2569e1764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3083",
    "kind": "arxiv",
    "version": 1
  }
}