Pith Number

pith:NJHQ3LDN

pith:2008:NJHQ3LDNGPBKOO6CJB46CLDCBD

not attested not anchored not stored refs pending

Concentration inequalities for Markov processes via coupling

F. Redig, J.-R. Chazottes

arxiv:0810.0097 v4 · 2008-10-01 · 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{NJHQ3LDNGPBKOO6CJB46CLDCBD}

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	2026-05-18T04:34:01.513921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a4f0dac6d33c2a73bc24879e12c6208dd8acd9e6d5a02213381188e9d4f1840

Aliases

arxiv: 0810.0097 · arxiv_version: 0810.0097v4 · doi: 10.48550/arxiv.0810.0097 · pith_short_12: NJHQ3LDNGPBK · pith_short_16: NJHQ3LDNGPBKOO6C · pith_short_8: NJHQ3LDN

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/NJHQ3LDNGPBKOO6CJB46CLDCBD \
  | 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: 6a4f0dac6d33c2a73bc24879e12c6208dd8acd9e6d5a02213381188e9d4f1840

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "705e321178b856170e210c55b0ff9c112d64755f0b0605faff1404d59b6933c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-10-01T07:52:10Z",
    "title_canon_sha256": "2679c0094ad1a14655ad93d9a7169747e36431609d8bbee915c3c3d6e12ee448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0097",
    "kind": "arxiv",
    "version": 4
  }
}