Pith Number

pith:CRVYHP3T

pith:2012:CRVYHP3TFWA2GGJB7YGR6ZTKGL

not attested not anchored not stored refs pending

Exponential Concentration Inequalities for Additive Functionals of Markov Chains

Rados{\l}aw Adamczak, Witold Bednorz

arxiv:1201.3569 v2 · 2012-01-17 · 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{CRVYHP3TFWA2GGJB7YGR6ZTKGL}

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	2026-05-18T03:10:14.636773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

146b83bf732d81a31921fe0d1f666a32c5124afd63736aa45026af0ac3b8d218

Aliases

arxiv: 1201.3569 · arxiv_version: 1201.3569v2 · doi: 10.48550/arxiv.1201.3569 · pith_short_12: CRVYHP3TFWA2 · pith_short_16: CRVYHP3TFWA2GGJB · pith_short_8: CRVYHP3T

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/CRVYHP3TFWA2GGJB7YGR6ZTKGL \
  | 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: 146b83bf732d81a31921fe0d1f666a32c5124afd63736aa45026af0ac3b8d218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edad166fdcaba97ed514e62f7ce5c6e701eb01ca702df9db10907fd734f9c33b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-17T17:36:41Z",
    "title_canon_sha256": "141b678a8f4c8db135e6215bcfe8f5f83cd2315c9285c987c6b165fd50e8fbad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3569",
    "kind": "arxiv",
    "version": 2
  }
}