Pith Number

pith:SPBMEW26

pith:2019:SPBMEW26RORP57FZLOPUNKBZQJ

not attested not anchored not stored refs pending

L{\'e}vy processes: concentration function and heat kernel bounds

Karol Szczypkowski, Tomasz Grzywny

arxiv:1907.00778 v1 · 2019-06-28 · 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{SPBMEW26RORP57FZLOPUNKBZQJ}

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	2026-05-17T23:41:48.126924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c2c25b5e8ba2fefcb95b9f46a839825bc2243e36e39b3861810cbf9bcb0d38

Aliases

arxiv: 1907.00778 · arxiv_version: 1907.00778v1 · doi: 10.48550/arxiv.1907.00778 · pith_short_12: SPBMEW26RORP · pith_short_16: SPBMEW26RORP57FZ · pith_short_8: SPBMEW26

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/SPBMEW26RORP57FZLOPUNKBZQJ \
  | 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: 93c2c25b5e8ba2fefcb95b9f46a839825bc2243e36e39b3861810cbf9bcb0d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf9fb19ae492e6c384475cdd7f75a6e4e9bdf6e2e9a1e6a3c785c2e85f66ba31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-28T11:35:34Z",
    "title_canon_sha256": "0b25dcf8563094e5dc0649d77005dfc5e0fce78c4e8bb63895392a30903bc9df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00778",
    "kind": "arxiv",
    "version": 1
  }
}