Pith Number

pith:7SWB3BUT

pith:2017:7SWB3BUT7BHTCJGG27TXGKCMV5

not attested not anchored not stored refs pending

$(p,q)$-Whittaker function and associated properties and formulas

G. Rahman, J. Choi, K. S. Nisar, S. Mubeen

arxiv:1710.07196 v1 · 2017-10-10 · 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{7SWB3BUT7BHTCJGG27TXGKCMV5}

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	2026-05-18T00:32:26.663866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcac1d8693f84f3124c6d7e773284caf7014a9952c027f0a18953a1278ba3375

Aliases

arxiv: 1710.07196 · arxiv_version: 1710.07196v1 · doi: 10.48550/arxiv.1710.07196 · pith_short_12: 7SWB3BUT7BHT · pith_short_16: 7SWB3BUT7BHTCJGG · pith_short_8: 7SWB3BUT

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/7SWB3BUT7BHTCJGG27TXGKCMV5 \
  | 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: fcac1d8693f84f3124c6d7e773284caf7014a9952c027f0a18953a1278ba3375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3422f896cccffb007a691d9a9afb30f43fa2d5d096eb2fc8b40037a85a899d1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-10T04:45:44Z",
    "title_canon_sha256": "6afb5b160add322d3fbc93566bbce2682db76e4f442a2692114dee0d7eb07402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07196",
    "kind": "arxiv",
    "version": 1
  }
}