Pith Number

pith:QCNIYR5L

pith:2019:QCNIYR5LHXPCK7CVPX4SOW25FR

not attested not anchored not stored refs pending

Discrete Kontorovich-Lebedev transforms

Semyon Yakubovich

arxiv:1908.01392 v2 · 2019-08-04 · 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{QCNIYR5LHXPCK7CVPX4SOW25FR}

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	2026-07-05T01:08:24.263923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

809a8c47ab3dde257c557df9275b5d2c55b0ca67fa33cb1f7f3e130b857b1429

Aliases

arxiv: 1908.01392 · arxiv_version: 1908.01392v2 · doi: 10.48550/arxiv.1908.01392 · pith_short_12: QCNIYR5LHXPC · pith_short_16: QCNIYR5LHXPCK7CV · pith_short_8: QCNIYR5L

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/QCNIYR5LHXPCK7CVPX4SOW25FR \
  | 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: 809a8c47ab3dde257c557df9275b5d2c55b0ca67fa33cb1f7f3e130b857b1429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4f7526f754f29402186c1f9c400c812db50b8a409c10ba22dc605d66be0ff6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-04T19:58:15Z",
    "title_canon_sha256": "5b273b5b2c35177004a043c0f87f451708a8794fd494e90c4843f111a6d21544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01392",
    "kind": "arxiv",
    "version": 2
  }
}