Pith Number

pith:FNBTJFJY

pith:2019:FNBTJFJY6KMUEQKGYXMHNE2TQH

not attested not anchored not stored refs pending

Mock Theta Function Identities Deriving from Bilateral Basic Hypergeometric Series

James Mc Laughlin

arxiv:1906.11997 v1 · 2019-06-27 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNBTJFJY6KMUEQKGYXMHNE2TQH}

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	2026-05-17T23:41:59.586141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b43349538f299424146c5d876935381dddce0f583502773aa1c093b097d6b0d

Aliases

arxiv: 1906.11997 · arxiv_version: 1906.11997v1 · doi: 10.48550/arxiv.1906.11997 · pith_short_12: FNBTJFJY6KMU · pith_short_16: FNBTJFJY6KMUEQKG · pith_short_8: FNBTJFJY

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/FNBTJFJY6KMUEQKGYXMHNE2TQH \
  | 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: 2b43349538f299424146c5d876935381dddce0f583502773aa1c093b097d6b0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0423f0928fc412e1ec75dd438602951bc82f67762e2dbd4c84e7707a9b20f925",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-27T23:45:51Z",
    "title_canon_sha256": "6ebd634476455969e3eb5b94c75670354bf532c21def6cf02c099313354aa5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11997",
    "kind": "arxiv",
    "version": 1
  }
}