Pith Number

pith:YTEES4YQ

pith:2005:YTEES4YQ74LTNKLCAEPAEZK25T

not attested not anchored not stored refs pending

Concentration inequalities on product spaces with applications to Markov processes

Fran\c{c}ois Bolley (UMPA-ENSL), Gordon Blower

arxiv:math/0505536 v1 · 2005-05-25 · 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{YTEES4YQ74LTNKLCAEPAEZK25T}

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	2026-05-18T03:12:58.383656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4c8497310ff1736a962011e02655aecfa908bf2a1ebd3f1b5969d87a64619f4

Aliases

arxiv: math/0505536 · arxiv_version: math/0505536v1 · doi: 10.48550/arxiv.math/0505536 · pith_short_12: YTEES4YQ74LT · pith_short_16: YTEES4YQ74LTNKLC · pith_short_8: YTEES4YQ

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/YTEES4YQ74LTNKLCAEPAEZK25T \
  | 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: c4c8497310ff1736a962011e02655aecfa908bf2a1ebd3f1b5969d87a64619f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66135f30c62c605960625fdfd722c5a349ceb9ef97e1740ad2ed251d1917cf9f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-05-25T09:56:46Z",
    "title_canon_sha256": "bd593a7a87ae1ef0c894502382a72ce9f1ebf990c93256a3a8311c9950b22cbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505536",
    "kind": "arxiv",
    "version": 1
  }
}