Pith Number

pith:V665UC3N

pith:2013:V665UC3N2FIMFRJXYNFECXD5CD

not attested not anchored not stored refs pending

New Series Expansions of the Gauss Hypergeometric Function

Jos\'e Luis L\'opez, Nico M. Temme

arxiv:1306.2046 v2 · 2013-06-09 · 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{V665UC3N2FIMFRJXYNFECXD5CD}

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	2026-05-18T03:09:48.358596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afbdda0b6dd150c2c537c34a415c7d10cff7b8b16a74921fcb2d00a5edebbb21

Aliases

arxiv: 1306.2046 · arxiv_version: 1306.2046v2 · doi: 10.48550/arxiv.1306.2046 · pith_short_12: V665UC3N2FIM · pith_short_16: V665UC3N2FIMFRJX · pith_short_8: V665UC3N

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/V665UC3N2FIMFRJXYNFECXD5CD \
  | 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: afbdda0b6dd150c2c537c34a415c7d10cff7b8b16a74921fcb2d00a5edebbb21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ab13a1639541268a79e70a3eea4af55d26897fa9177b562b76412f8d045a75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-09T17:49:48Z",
    "title_canon_sha256": "2f8abc0315456f4794cce8e60b82d1f7dd167b1b7d4b9721a07622a7e34a2260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2046",
    "kind": "arxiv",
    "version": 2
  }
}