Pith Number

pith:S5652NWM

pith:2012:S5652NWM3KWNVKDDDPV7YUPR4O

not attested not anchored not stored refs pending

Existence and uniqueness of a quasi-stationary distribution for Markov processes with fast return from infinity

Denis Villemonais, Jaime San Martin, Servet Martinez

arxiv:1202.0677 v2 · 2012-02-03 · 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{S5652NWM3KWNVKDDDPV7YUPR4O}

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	2026-05-18T03:29:13.994409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

977ddd36ccdaacdaa8631bebfc51f1e38d37218ee697a4e19da64c281191af5d

Aliases

arxiv: 1202.0677 · arxiv_version: 1202.0677v2 · doi: 10.48550/arxiv.1202.0677 · pith_short_12: S5652NWM3KWN · pith_short_16: S5652NWM3KWNVKDD · pith_short_8: S5652NWM

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/S5652NWM3KWNVKDDDPV7YUPR4O \
  | 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: 977ddd36ccdaacdaa8631bebfc51f1e38d37218ee697a4e19da64c281191af5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7ce5d6892cc0c00edd0abfe72e89764510b6299371d0ebee7ffb51cb984b6e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-03T12:23:53Z",
    "title_canon_sha256": "67a72491236914418da18b69bd4e48fef27d0d7b0fa4b4965045b5f1d7253be6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0677",
    "kind": "arxiv",
    "version": 2
  }
}