Pith Number

pith:3W2WQXXX

pith:2018:3W2WQXXXUGPYGNRWV5VK34HBAZ

not attested not anchored not stored refs pending

Asymptotics of a Gauss hypergeometric function with large parameters, IV: A uniform expansion

R B Paris

arxiv:1809.08794 v2 · 2018-09-24 · 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{3W2WQXXXUGPYGNRWV5VK34HBAZ}

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	2026-05-18T00:03:24.088428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb5685ef7a19f833636af6aadf0e1066145e31f6b36319da000742cb124547e

Aliases

arxiv: 1809.08794 · arxiv_version: 1809.08794v2 · doi: 10.48550/arxiv.1809.08794 · pith_short_12: 3W2WQXXXUGPY · pith_short_16: 3W2WQXXXUGPYGNRW · pith_short_8: 3W2WQXXX

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/3W2WQXXXUGPYGNRWV5VK34HBAZ \
  | 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: ddb5685ef7a19f833636af6aadf0e1066145e31f6b36319da000742cb124547e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d46b8f121da77b10fc018dd7d26a6f10bc4065a48a3dd8582eb4d759768c7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-09-24T08:16:59Z",
    "title_canon_sha256": "4bbad109b4817838d9c4b13b2bbd923778889afc9a8ec7da8d284f472bd99e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08794",
    "kind": "arxiv",
    "version": 2
  }
}