Pith Number

pith:XPCBLRV3

pith:2015:XPCBLRV3PMG5C6OJO6XO7YOGG4

not attested not anchored not stored refs pending

Lebedev's type index transforms with the modified Bessel functions

Semyon Yakubovich

arxiv:1510.09148 v1 · 2015-10-30 · 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{XPCBLRV3PMG5C6OJO6XO7YOGG4}

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	2026-05-18T01:28:22.661549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc415c6bb7b0dd179c977aeefe1c63709b4ce122221b581f637b290efb3a604

Aliases

arxiv: 1510.09148 · arxiv_version: 1510.09148v1 · doi: 10.48550/arxiv.1510.09148 · pith_short_12: XPCBLRV3PMG5 · pith_short_16: XPCBLRV3PMG5C6OJ · pith_short_8: XPCBLRV3

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/XPCBLRV3PMG5C6OJO6XO7YOGG4 \
  | 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: bbc415c6bb7b0dd179c977aeefe1c63709b4ce122221b581f637b290efb3a604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c01e22bc23dac2740b18bce5fe97c707be1a12d0a7a11c48745028a144c67b58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-30T16:23:58Z",
    "title_canon_sha256": "15f2631b6a9641580538e2dcc3d7d22547faa234bf52408ed9c24696bd0714c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09148",
    "kind": "arxiv",
    "version": 1
  }
}