Pith Number

pith:3IX4Y63R

pith:2016:3IX4Y63RDI6REEZG2RSJSSXPOZ

not attested not anchored not stored refs pending

Asymptotics of a Gauss hypergeometric function with large parameters, III: Application to the Legendre functions of large imaginary order and real degree

R.B. Paris

arxiv:1609.08365 v1 · 2016-09-27 · 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{3IX4Y63RDI6REEZG2RSJSSXPOZ}

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	2026-05-18T01:03:46.057127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da2fcc7b711a3d121326d464994aef76542209fa1f1b4d0146c3314aff04ec51

Aliases

arxiv: 1609.08365 · arxiv_version: 1609.08365v1 · doi: 10.48550/arxiv.1609.08365 · pith_short_12: 3IX4Y63RDI6R · pith_short_16: 3IX4Y63RDI6REEZG · pith_short_8: 3IX4Y63R

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/3IX4Y63RDI6REEZG2RSJSSXPOZ \
  | 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: da2fcc7b711a3d121326d464994aef76542209fa1f1b4d0146c3314aff04ec51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b45883cd5856292038e8450e5031d6793129948f35eddf9837ff89bb02df24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-27T11:55:09Z",
    "title_canon_sha256": "13d491b206a43997b8e732afbde2929eb7139707a1f2cacfbf9587ed19b095c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08365",
    "kind": "arxiv",
    "version": 1
  }
}