pith. sign in
Pith Number

pith:4BTM5ZXO

pith:2013:4BTM5ZXOKO7AK2IA4YZKBJDWNM
not attested not anchored not stored refs pending

An alternative proof of the extended Saalschutz summation theorem for the r+3Fr+2(1) series with applications

Arjun K. Rathie, R.B.Paris, Y.S.Kim

arxiv:1312.0063 v1 · 2013-11-30 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?
Add to your LaTeX paper 
\usepackage{pith}
\pithnumber{4BTM5ZXOKO7AK2IA4YZKBJDWNM}

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 2026-05-18T00:56:53.440464Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e066cee6ee53be056900e632a0a4766b331aacc503d2a4b74d8e8b88c212c5f9

Aliases

arxiv: 1312.0063 · arxiv_version: 1312.0063v1 · doi: 10.48550/arxiv.1312.0063 · pith_short_12: 4BTM5ZXOKO7A · pith_short_16: 4BTM5ZXOKO7AK2IA · pith_short_8: 4BTM5ZXO
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/4BTM5ZXOKO7AK2IA4YZKBJDWNM \
  | 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: e066cee6ee53be056900e632a0a4766b331aacc503d2a4b74d8e8b88c212c5f9
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "df1fe4ebbc72d34767a082d886bf9ea01520ed9fcaa0cc549c2a8052f9b03798",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-11-30T05:35:10Z",
    "title_canon_sha256": "f62be2166b0b026c0f2cba6f95f420a9b7eec9d0a0f36683e37f4250889d0e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0063",
    "kind": "arxiv",
    "version": 1
  }
}