Pith Number

pith:MDSU3C6A

pith:2015:MDSU3C6ALIKJ5KZYAO2X2R6IBN

not attested not anchored not stored refs pending

Heat kernel estimates for anomalous heavy-tailed random walks

Laurent Saloff-Coste, Mathav Murugan

arxiv:1512.02361 v2 · 2015-12-08 · 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{MDSU3C6ALIKJ5KZYAO2X2R6IBN}

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	2026-05-18T00:21:37.956570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60e54d8bc05a149eab3803b57d47c80b5d2c5d29ceba8df50add055de38b652f

Aliases

arxiv: 1512.02361 · arxiv_version: 1512.02361v2 · doi: 10.48550/arxiv.1512.02361 · pith_short_12: MDSU3C6ALIKJ · pith_short_16: MDSU3C6ALIKJ5KZY · pith_short_8: MDSU3C6A

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/MDSU3C6ALIKJ5KZYAO2X2R6IBN \
  | 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: 60e54d8bc05a149eab3803b57d47c80b5d2c5d29ceba8df50add055de38b652f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aae496cf2b493abd8fb41b4cb1cad0a558a150d2179aacae3431fec7393c3b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-08T07:57:49Z",
    "title_canon_sha256": "e15c1abb70022d02068cc747916a3ee070fafb6da896036ded219b86e4ca20ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02361",
    "kind": "arxiv",
    "version": 2
  }
}