Pith Number

pith:WTUJGNQC

pith:2013:WTUJGNQCF5GMMZMJILG5T7AFZA

not attested not anchored not stored refs pending

The asymptotic strong Feller property does not imply the e-property for Markov-Feller semigroups

Joanna Jaroszewska

arxiv:1308.4967 v1 · 2013-08-22 · 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{WTUJGNQCF5GMMZMJILG5T7AFZA}

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	2026-05-18T03:15:19.200726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e89336022f4cc6658942cdd9fc05c80f6da1a5652778604bbbc34165f1319d

Aliases

arxiv: 1308.4967 · arxiv_version: 1308.4967v1 · doi: 10.48550/arxiv.1308.4967 · pith_short_12: WTUJGNQCF5GM · pith_short_16: WTUJGNQCF5GMMZMJ · pith_short_8: WTUJGNQC

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/WTUJGNQCF5GMMZMJILG5T7AFZA \
  | 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: b4e89336022f4cc6658942cdd9fc05c80f6da1a5652778604bbbc34165f1319d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3b0cee586848cef9744efca496c7661eeef06d211b017c8c2d00348e984d384",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-22T19:46:04Z",
    "title_canon_sha256": "3af5abb9fdc86f66273e7c1903892a64f738c16a684b7cbca93b74e495cfe162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4967",
    "kind": "arxiv",
    "version": 1
  }
}