Pith Number

pith:I22H7ZH3

pith:2016:I22H7ZH3RH7AAQOXOBRYXZOBWU

not attested not anchored not stored refs pending

Summation formulae for the bilateral basic hypergeometric series ${}_1\psi_1 ( a; b; q, z )$

Hironori Mori, Takeshi Morita

arxiv:1603.06657 v1 · 2016-03-22 · math.CA · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I22H7ZH3RH7AAQOXOBRYXZOBWU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:18:35.014934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b47fe4fb89fe0041d770638be5c1b5059daae002ca38dd5303f6ff05068cad

Aliases

arxiv: 1603.06657 · arxiv_version: 1603.06657v1 · doi: 10.48550/arxiv.1603.06657 · pith_short_12: I22H7ZH3RH7A · pith_short_16: I22H7ZH3RH7AAQOX · pith_short_8: I22H7ZH3

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/I22H7ZH3RH7AAQOXOBRYXZOBWU \
  | 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: 46b47fe4fb89fe0041d770638be5c1b5059daae002ca38dd5303f6ff05068cad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7737dbc3abeff17c83d6f299b0c1ad620e8f061a6071db92121074defc755fe",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-22T02:04:12Z",
    "title_canon_sha256": "14900da3e0dac742061fb5534bd6e2b94ab590ce70c9a1cd34fb88a2031d3688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06657",
    "kind": "arxiv",
    "version": 1
  }
}