Pith Number

pith:Z4R4DE34

pith:2016:Z4R4DE34NH3TQHW445GOAWEEPY

not attested not anchored not stored refs pending

Oscillating heat kernels on ultrametric spaces

Alexander Bendikov, Wojciech Cygan, Wolfgang Woess

arxiv:1610.03292 v3 · 2016-10-11 · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4R4DE34NH3TQHW445GOAWEEPY}

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	2026-05-17T23:56:00.648981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf23c1937c69f7381edce74ce058847e00c686febe5f64affb99f860e78fdcf2

Aliases

arxiv: 1610.03292 · arxiv_version: 1610.03292v3 · doi: 10.48550/arxiv.1610.03292 · pith_short_12: Z4R4DE34NH3T · pith_short_16: Z4R4DE34NH3TQHW4 · pith_short_8: Z4R4DE34

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/Z4R4DE34NH3TQHW445GOAWEEPY \
  | 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: cf23c1937c69f7381edce74ce058847e00c686febe5f64affb99f860e78fdcf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9878084a7fd5c98af713165ac6e18487c82e60ca874ee8c19efb479dd7838961",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-11T12:05:31Z",
    "title_canon_sha256": "9a650e864970835aa03d2cddb9f04440e8f942236a02c0d65d3b3b52bbbe8d9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03292",
    "kind": "arxiv",
    "version": 3
  }
}