Pith Number

pith:VJLZPPIR

pith:2013:VJLZPPIRZV4U6LHAJ5UC3YZMVD

not attested not anchored not stored refs pending

Functional definitions for $q$-analogues of eulerian functions and applications

Ahmad El-Guindy, Zeinab Mansour

arxiv:1309.4585 v1 · 2013-09-18 · 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{VJLZPPIRZV4U6LHAJ5UC3YZMVD}

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	2026-05-18T03:12:58.939829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa5797bd11cd794f2ce04f682de32ca8c0dac0332c01d70a521f164a875d7b7a

Aliases

arxiv: 1309.4585 · arxiv_version: 1309.4585v1 · doi: 10.48550/arxiv.1309.4585 · pith_short_12: VJLZPPIRZV4U · pith_short_16: VJLZPPIRZV4U6LHA · pith_short_8: VJLZPPIR

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/VJLZPPIRZV4U6LHAJ5UC3YZMVD \
  | 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: aa5797bd11cd794f2ce04f682de32ca8c0dac0332c01d70a521f164a875d7b7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e7be82f1f91605080318374a891c1d2cd2592bda1d7911b9a639b6cf3d2e127",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-18T09:08:19Z",
    "title_canon_sha256": "cef5b2de2eb3b7e39da01009ad33f526418b95f70b390fabff11420ceecd166d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4585",
    "kind": "arxiv",
    "version": 1
  }
}