Pith Number

pith:C4TC54JP

pith:2017:C4TC54JPYF45F6LZNX3QYS4K63

not attested not anchored not stored refs pending

Conditioned local limit theorems for random walks defined on finite Markov chains

Emile Le Page, Ion Grama, Ronan Lauvergnat

arxiv:1707.06129 v1 · 2017-07-19 · 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{C4TC54JPYF45F6LZNX3QYS4K63}

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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.

Cited by

1 paper in Pith

Precise large deviation asymptotics for products of random matrices

Receipt and verification

First computed	2026-05-18T00:39:57.569145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17262ef12fc179d2f9796df70c4b8af6d34c28e3b66a44f34e47ce89b2456420

Aliases

arxiv: 1707.06129 · arxiv_version: 1707.06129v1 · doi: 10.48550/arxiv.1707.06129 · pith_short_12: C4TC54JPYF45 · pith_short_16: C4TC54JPYF45F6LZ · pith_short_8: C4TC54JP

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/C4TC54JPYF45F6LZNX3QYS4K63 \
  | 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: 17262ef12fc179d2f9796df70c4b8af6d34c28e3b66a44f34e47ce89b2456420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c05de0dd331d9663ef8ffacfeac2062ae5c183e251ecbd2db967e3eea3725e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-19T14:48:42Z",
    "title_canon_sha256": "015c24dc16c25838a7e83313301fd8e9602a02d0773bc627cf42355350361691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06129",
    "kind": "arxiv",
    "version": 1
  }
}