Pith Number

pith:LKPQXXD5

pith:2015:LKPQXXD5ZWNULA3KGZB5FJK64V

not attested not anchored not stored refs pending

Fourier-Bessel heat kernel estimates

Grzegorz Serafin, Jacek Malecki, Tomasz Zorawik

arxiv:1503.02226 v1 · 2015-03-07 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKPQXXD5ZWNULA3KGZB5FJK64V}

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	2026-05-18T02:25:25.537672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a9f0bdc7dcd9b45836a3643d2a55ee5772bd342cb193bbbaeebe44f19fafac0

Aliases

arxiv: 1503.02226 · arxiv_version: 1503.02226v1 · doi: 10.48550/arxiv.1503.02226 · pith_short_12: LKPQXXD5ZWNU · pith_short_16: LKPQXXD5ZWNULA3K · pith_short_8: LKPQXXD5

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/LKPQXXD5ZWNULA3KGZB5FJK64V \
  | 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: 5a9f0bdc7dcd9b45836a3643d2a55ee5772bd342cb193bbbaeebe44f19fafac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ed1e33dfb7d39361c8806e6fb58b34ddcc117762e410a110f88d924d8f6f819",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-07T23:11:17Z",
    "title_canon_sha256": "fcb963677a9703dd6c5d75e3eae4348cd9f0af55107b0792148b20715302fa05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02226",
    "kind": "arxiv",
    "version": 1
  }
}