Pith Number

pith:PS6VSJ5Y

pith:2015:PS6VSJ5YLRCBE5DIZF7XRHBQCA

not attested not anchored not stored refs pending

Entrance and sojourn times for Markov chains. Application to $(L,R)$-random walks

Aim\'e Lachal, Valentina Cammarota

arxiv:1503.08632 v1 · 2015-03-30 · 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{PS6VSJ5YLRCBE5DIZF7XRHBQCA}

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	2026-05-18T00:26:38.189085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cbd5927b85c44127468c97f789c301019879b8a6e5f9d61042ee3ff90430ff6

Aliases

arxiv: 1503.08632 · arxiv_version: 1503.08632v1 · doi: 10.48550/arxiv.1503.08632 · pith_short_12: PS6VSJ5YLRCB · pith_short_16: PS6VSJ5YLRCBE5DI · pith_short_8: PS6VSJ5Y

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/PS6VSJ5YLRCBE5DIZF7XRHBQCA \
  | 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: 7cbd5927b85c44127468c97f789c301019879b8a6e5f9d61042ee3ff90430ff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8c2cacff3e99fcbb6ab2fa55973bd015f8b1b60b6c660ff49a942f7fe3c6bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-30T10:50:24Z",
    "title_canon_sha256": "e88fc9e7ffc3d010bd9caee78bf3d2143b9cdb5ccd8f704861ebb91dbea9fbb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08632",
    "kind": "arxiv",
    "version": 1
  }
}