Pith Number

pith:KUXD6JA6

pith:2013:KUXD6JA6OIELKGHXFR3BXXA4D2

not attested not anchored not stored refs pending

On the Sums of Inverse Even Powers of Zeros of Regular Bessel Functions

Jorge L. deLyra

arxiv:1305.0228 v3 · 2013-05-01 · math-ph · 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{KUXD6JA6OIELKGHXFR3BXXA4D2}

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	2026-05-18T02:59:08.748380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

552e3f241e7208b518f72c761bdc1c1e8e06b5ed161f5d607be25c2cb4be2281

Aliases

arxiv: 1305.0228 · arxiv_version: 1305.0228v3 · doi: 10.48550/arxiv.1305.0228 · pith_short_12: KUXD6JA6OIEL · pith_short_16: KUXD6JA6OIELKGHX · pith_short_8: KUXD6JA6

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/KUXD6JA6OIELKGHXFR3BXXA4D2 \
  | 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: 552e3f241e7208b518f72c761bdc1c1e8e06b5ed161f5d607be25c2cb4be2281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99ce2eaf92e960dabfa84de4477e748a7f5b0e4d5e3acdb0237ced40baf08408",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-01T17:23:14Z",
    "title_canon_sha256": "14fc1421dc84bb9e2ccd0d97730fcc3cd50a57e266e6ab73b829016b4e827151"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0228",
    "kind": "arxiv",
    "version": 3
  }
}