Pith Number

pith:LLSO2RWD

pith:2013:LLSO2RWDK4XCN6P5TBIV2KOSH5

not attested not anchored not stored refs pending

On the zeros of the big $q$-Bessel functions and applications

Fethi Bouzeffour, Hanen Ben Mansour

arxiv:1311.1165 v1 · 2013-11-05 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLSO2RWDK4XCN6P5TBIV2KOSH5}

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	2026-05-18T03:07:55.419293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae4ed46c3572e26f9fd98515d29d23f59356f5cfdc18678f7f5ff8d63a786bf

Aliases

arxiv: 1311.1165 · arxiv_version: 1311.1165v1 · doi: 10.48550/arxiv.1311.1165 · pith_short_12: LLSO2RWDK4XC · pith_short_16: LLSO2RWDK4XCN6P5 · pith_short_8: LLSO2RWD

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/LLSO2RWDK4XCN6P5TBIV2KOSH5 \
  | 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: 5ae4ed46c3572e26f9fd98515d29d23f59356f5cfdc18678f7f5ff8d63a786bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d62fa507c7237e3a4bad379e08eb7e0fd8c2f69cd9c336da0a4f4851309959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-11-05T19:09:11Z",
    "title_canon_sha256": "5a2d7847957e0b0f7bdb38873a8b552722d49c4593e24533862ce91f75211539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1165",
    "kind": "arxiv",
    "version": 1
  }
}