pith. sign in
Pith Number

pith:L3O2HUZL

pith:2015:L3O2HUZLGUQ5L57WYGZHCQHXWQ
not attested not anchored not stored refs pending

Long time behavior of Markov processes and beyond

Christophe Poquet, Fabien Panloup (IMT), Florent Malrieu (LMPT, Florian Bouguet (IRMAR), FRDP), Julien Reygner (Phys-ENS)

arxiv:1507.05801 v1 · 2015-07-21 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L3O2HUZLGUQ5L57WYGZHCQHXWQ}

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 2026-05-18T01:36:32.414134Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5edda3d32b3521d5f7f6c1b27140f7b4308c28d4a4b97602973fc9dbc8e7d1ce

Aliases

arxiv: 1507.05801 · arxiv_version: 1507.05801v1 · doi: 10.48550/arxiv.1507.05801 · pith_short_12: L3O2HUZLGUQ5 · pith_short_16: L3O2HUZLGUQ5L57W · pith_short_8: L3O2HUZL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L3O2HUZLGUQ5L57WYGZHCQHXWQ \
  | 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: 5edda3d32b3521d5f7f6c1b27140f7b4308c28d4a4b97602973fc9dbc8e7d1ce
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c16ff06d25478fd8e2f635a05b8a822d71cfacfee76e9ceb588e61e312ac391c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-21T12:25:38Z",
    "title_canon_sha256": "d663122a589a9e3f4e8f1388f60410191c7bee196efb2b33a8fd3357ed17889e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05801",
    "kind": "arxiv",
    "version": 1
  }
}