Pith Number

pith:XZWJGUTS

pith:2016:XZWJGUTSVWW53GG54NCDP7E3P5

not attested not anchored not stored refs pending

Special values of Gauss's hypergeometric series derived from Appell's series $F_1$ with closed forms

Akihito Ebisu

arxiv:1607.04742 v2 · 2016-07-16 · 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{XZWJGUTSVWW53GG54NCDP7E3P5}

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	2026-05-18T01:10:55.324024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be6c935272adaddd98dde34437fc9b7f5fe3c0e6391bd0023b455810d11fdac5

Aliases

arxiv: 1607.04742 · arxiv_version: 1607.04742v2 · doi: 10.48550/arxiv.1607.04742 · pith_short_12: XZWJGUTSVWW5 · pith_short_16: XZWJGUTSVWW53GG5 · pith_short_8: XZWJGUTS

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/XZWJGUTSVWW53GG54NCDP7E3P5 \
  | 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: be6c935272adaddd98dde34437fc9b7f5fe3c0e6391bd0023b455810d11fdac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd3b007d20ad176b704fba47348257ac858e71eb5f01a9cd804440dde3fd7adb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-16T13:40:43Z",
    "title_canon_sha256": "78c35ecc9c339c52e442961cbf964bb747404c652f08083653285bee3e59a4d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04742",
    "kind": "arxiv",
    "version": 2
  }
}