Pith Number

pith:J7QWXXIA

pith:2012:J7QWXXIAAYAMXGN5F7UNR4AENN

not attested not anchored not stored refs pending

An asymptotic formula of the divergent bilateral basic hypergeometric series

Takeshi Morita

arxiv:1205.1453 v2 · 2012-05-07 · 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{J7QWXXIAAYAMXGN5F7UNR4AENN}

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	2026-05-18T03:55:58.639922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe16bdd000600cb99bd2fe8d8f0046b47789df82d310e5cfbe1aadd812c22bc

Aliases

arxiv: 1205.1453 · arxiv_version: 1205.1453v2 · doi: 10.48550/arxiv.1205.1453 · pith_short_12: J7QWXXIAAYAM · pith_short_16: J7QWXXIAAYAMXGN5 · pith_short_8: J7QWXXIA

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/J7QWXXIAAYAMXGN5F7UNR4AENN \
  | 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: 4fe16bdd000600cb99bd2fe8d8f0046b47789df82d310e5cfbe1aadd812c22bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e96708319c47d9b42b2141dcd5914639c8cb52652e24b53f1c2ddd771d723c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-07T16:30:17Z",
    "title_canon_sha256": "b0146207270c192c8b73730eb1f7443e77a6dac4ca704e41c8932500da083e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1453",
    "kind": "arxiv",
    "version": 2
  }
}