Pith Number

pith:QZR7NIAA

pith:2018:QZR7NIAAQMSBR7WE5BIAIZQTZ6

not attested not anchored not stored refs pending

Generalized Volterra functions, its integral representations and applications to the Mathieu--type series

Khaled Mehrez, Sergei M. Sitnik

arxiv:1805.11540 v2 · 2018-05-29 · 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{QZR7NIAAQMSBR7WE5BIAIZQTZ6}

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	2026-05-17T23:58:19.236790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8663f6a000832418fec4e850046613cf83483ba5df687d365941210ce8c93276

Aliases

arxiv: 1805.11540 · arxiv_version: 1805.11540v2 · doi: 10.48550/arxiv.1805.11540 · pith_short_12: QZR7NIAAQMSB · pith_short_16: QZR7NIAAQMSBR7WE · pith_short_8: QZR7NIAA

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/QZR7NIAAQMSBR7WE5BIAIZQTZ6 \
  | 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: 8663f6a000832418fec4e850046613cf83483ba5df687d365941210ce8c93276

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1097b6952298cc9d0c0b37db4d7bf5c2482890052c9ee5ba97fdd151dde5b5ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-29T15:26:03Z",
    "title_canon_sha256": "468bf0ce1b3537529ade0f6b4dd0254a250bb0f4087d32653cc803e9532b25b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11540",
    "kind": "arxiv",
    "version": 2
  }
}