Pith Number

pith:2NSW536D

pith:2019:2NSW536DNGDDWINN2IA5TISCU4

not attested not anchored not stored refs pending

Some summation theorems for truncated Clausen series and applications

Dilshad Ahamad, M.I. Qureshi, Saima Jabee

arxiv:1906.08057 v1 · 2019-06-18 · 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{2NSW536DNGDDWINN2IA5TISCU4}

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	2026-05-17T23:42:54.727036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3656eefc369863b21add201d9a242a715b75484620c22a73638e373a6f3cc22

Aliases

arxiv: 1906.08057 · arxiv_version: 1906.08057v1 · doi: 10.48550/arxiv.1906.08057 · pith_short_12: 2NSW536DNGDD · pith_short_16: 2NSW536DNGDDWINN · pith_short_8: 2NSW536D

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/2NSW536DNGDDWINN2IA5TISCU4 \
  | 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: d3656eefc369863b21add201d9a242a715b75484620c22a73638e373a6f3cc22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30563571d2fa383b7fb52e5f3e32c2a54ba4310f85fd199c066b5dbea4c84749",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-06-18T10:07:22Z",
    "title_canon_sha256": "eb6e43374b4fb51f2fdd340a14fc7c8edec820875b5ad308bc47e74a6905fa40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08057",
    "kind": "arxiv",
    "version": 1
  }
}