Pith Number

pith:TQQC3C3W

pith:2015:TQQC3C3W2Z5ITZEOV2PHHQFBHE

not attested not anchored not stored refs pending

On Recurrence and Transience of Two-Dimensional L\'evy and L\'evy-Type Processes

Nikola Sandri\'c

arxiv:1509.00925 v1 · 2015-09-03 · 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{TQQC3C3W2Z5ITZEOV2PHHQFBHE}

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	2026-05-18T01:34:04.761052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c202d8b76d67a89e48eae9e73c0a139350894fe78c699e065166a4e58e161ce

Aliases

arxiv: 1509.00925 · arxiv_version: 1509.00925v1 · doi: 10.48550/arxiv.1509.00925 · pith_short_12: TQQC3C3W2Z5I · pith_short_16: TQQC3C3W2Z5ITZEO · pith_short_8: TQQC3C3W

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/TQQC3C3W2Z5ITZEOV2PHHQFBHE \
  | 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: 9c202d8b76d67a89e48eae9e73c0a139350894fe78c699e065166a4e58e161ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb52fd6602482d1236f178b50c1597f3534e65bdb51164fb03e5c50e0b53d70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-03T02:56:20Z",
    "title_canon_sha256": "e5bf97e0748fd186a31ceb8d0e215ed056238f990dbe41b58a5d38fa9e85f98c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00925",
    "kind": "arxiv",
    "version": 1
  }
}