Pith Number

pith:GYW74XTQ

pith:2015:GYW74XTQ7GB4Y3F6FUV5WZBOCI

not attested not anchored not stored refs pending

Index transforms with the square of Bessel functions

Semyon Yakubovich

arxiv:1509.08723 v2 · 2015-09-29 · 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{GYW74XTQ7GB4Y3F6FUV5WZBOCI}

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	2026-05-18T01:29:53.600577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

362dfe5e70f983cc6cbe2d2bdb642e120270bac547f096ed59cfa91d3a50622a

Aliases

arxiv: 1509.08723 · arxiv_version: 1509.08723v2 · doi: 10.48550/arxiv.1509.08723 · pith_short_12: GYW74XTQ7GB4 · pith_short_16: GYW74XTQ7GB4Y3F6 · pith_short_8: GYW74XTQ

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/GYW74XTQ7GB4Y3F6FUV5WZBOCI \
  | 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: 362dfe5e70f983cc6cbe2d2bdb642e120270bac547f096ed59cfa91d3a50622a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bd9160c26ad40c7e33a5512f330782f41fcb58c15008b38503202355ce0fefe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-29T12:52:00Z",
    "title_canon_sha256": "57a3873fc9a3c6a69b447a42f090c1644d4629a63bc6d0009ad0f319cee9250e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08723",
    "kind": "arxiv",
    "version": 2
  }
}