Pith Number

pith:IZMEGG56

pith:2016:IZMEGG56YKW4KWXTDVDQBYRLSY

not attested not anchored not stored refs pending

On infinite series concerning zeros of Bessel functions of the first kind

Andrea Giusti, Francesco Mainardi

arxiv:1601.00563 v5 · 2016-01-04 · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZMEGG56YKW4KWXTDVDQBYRLSY}

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	2026-05-18T01:12:16.907387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4658431bbec2adc55af31d4700e22b962f78dd84ba13d9a5033e412ab03064cc

Aliases

arxiv: 1601.00563 · arxiv_version: 1601.00563v5 · doi: 10.48550/arxiv.1601.00563 · pith_short_12: IZMEGG56YKW4 · pith_short_16: IZMEGG56YKW4KWXT · pith_short_8: IZMEGG56

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/IZMEGG56YKW4KWXTDVDQBYRLSY \
  | 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: 4658431bbec2adc55af31d4700e22b962f78dd84ba13d9a5033e412ab03064cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153e1c09632d319bd938d6cee2e35019f1ee433b88ab435d4965486141989fbb",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-04T16:46:44Z",
    "title_canon_sha256": "399fe809df0f6ba4b832937a3c3f8c0f1fb89a342485e27168078719c356860b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00563",
    "kind": "arxiv",
    "version": 5
  }
}