Pith Number

pith:HISGS5OD

pith:2011:HISGS5ODI6OKSGW2HHD3MPFAQQ

not attested not anchored not stored refs pending

Optimal concentration inequalities for dynamical systems

Jean-Ren\'e Chazottes (CPHT), Sebastien Gouezel (IRMAR)

arxiv:1111.0849 v2 · 2011-11-03 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HISGS5ODI6OKSGW2HHD3MPFAQQ}

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	2026-05-18T01:59:47.753459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a246975c3479ca91ada39c7b63ca084220528ea5929bda5bc1624b61212bbe3

Aliases

arxiv: 1111.0849 · arxiv_version: 1111.0849v2 · doi: 10.48550/arxiv.1111.0849 · pith_short_12: HISGS5ODI6OK · pith_short_16: HISGS5ODI6OKSGW2 · pith_short_8: HISGS5OD

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/HISGS5ODI6OKSGW2HHD3MPFAQQ \
  | 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: 3a246975c3479ca91ada39c7b63ca084220528ea5929bda5bc1624b61212bbe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b06d375dca1286a4b8c3748a6a2e4266a52251533a6fb08f2f3a9994727a72a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-03T14:33:35Z",
    "title_canon_sha256": "14b28a67b29407189b63265e1e112bd3ce04ae37c3321240fa5a5d8dd85142c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0849",
    "kind": "arxiv",
    "version": 2
  }
}