Pith Number

pith:OHRFTCUV

pith:2013:OHRFTCUV4NV5XRHILXSWSWDKKO

not attested not anchored not stored refs pending

Remarks on limit theorems for reversible Markov processes

Martial Longla

arxiv:1310.8239 v4 · 2013-10-30 · 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{OHRFTCUV4NV5XRHILXSWSWDKKO}

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	2026-05-18T00:26:09.195707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e2598a95e36bdbc4e85de569586a53a8e6586cdbbafb4ef0d9cb251a470c3a

Aliases

arxiv: 1310.8239 · arxiv_version: 1310.8239v4 · doi: 10.48550/arxiv.1310.8239 · pith_short_12: OHRFTCUV4NV5 · pith_short_16: OHRFTCUV4NV5XRHI · pith_short_8: OHRFTCUV

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/OHRFTCUV4NV5XRHILXSWSWDKKO \
  | 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: 71e2598a95e36bdbc4e85de569586a53a8e6586cdbbafb4ef0d9cb251a470c3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62001802c9bb304d30aa979a0d70f6c9f7ab9cbf44499c842ced8dd4f6b1aff0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-30T17:31:17Z",
    "title_canon_sha256": "b15a78dd5ab4a8885469a3d9e6f07306a5c5adc262303c3130e282fe5f0b6e66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8239",
    "kind": "arxiv",
    "version": 4
  }
}