Pith Number

pith:FI5V636J

pith:2017:FI5V636JSIP742ZKZVIKVPOBTJ

not attested not anchored not stored refs pending

A $(p,\nu)$-extension of the Appell function $F_1(\cdot)$ and its properties

R B Paris, S A Dar

arxiv:1711.07780 v1 · 2017-11-21 · 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{FI5V636JSIP742ZKZVIKVPOBTJ}

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	2026-05-18T00:29:24.084330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a3b5f6fc9921ffe6b2acd50aabdc19a5b7a46bac459bfaadf7a7a2e596c9647

Aliases

arxiv: 1711.07780 · arxiv_version: 1711.07780v1 · doi: 10.48550/arxiv.1711.07780 · pith_short_12: FI5V636JSIP7 · pith_short_16: FI5V636JSIP742ZK · pith_short_8: FI5V636J

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/FI5V636JSIP742ZKZVIKVPOBTJ \
  | 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: 2a3b5f6fc9921ffe6b2acd50aabdc19a5b7a46bac459bfaadf7a7a2e596c9647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "098e93dd93d0c6e237887d4b86c4d1090a0caa4ff4314ac0782120ae20612cae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-11-21T13:41:47Z",
    "title_canon_sha256": "f7aa8d95226d677dc260c1f16ac709371309c2a0acfb2212299de9563f6b2657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07780",
    "kind": "arxiv",
    "version": 1
  }
}