Pith Number

pith:5T54RDCX

pith:2012:5T54RDCXKFMVFURNDDRZ2SV5CT

not attested not anchored not stored refs pending

Fluctuations of observables in dynamical systems: from limit theorems to concentration inequalities

J.-R. Chazottes

arxiv:1201.3833 v2 · 2012-01-18 · 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{5T54RDCXKFMVFURNDDRZ2SV5CT}

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	2026-05-18T03:56:10.400271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecfbc88c57515952d22d18e39d4abd14d24f1d9a62dc1ba249e8ab3e7c9888d1

Aliases

arxiv: 1201.3833 · arxiv_version: 1201.3833v2 · doi: 10.48550/arxiv.1201.3833 · pith_short_12: 5T54RDCXKFMV · pith_short_16: 5T54RDCXKFMVFURN · pith_short_8: 5T54RDCX

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/5T54RDCXKFMVFURNDDRZ2SV5CT \
  | 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: ecfbc88c57515952d22d18e39d4abd14d24f1d9a62dc1ba249e8ab3e7c9888d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0655159fc7995356c2274a51059df4b9741b8d7731b3f56555b3cae29f7d4a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-18T16:03:55Z",
    "title_canon_sha256": "dc87a7832420f5be98bf922ccadc37277046171a8abfaf0a2dec6949fd6b4744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3833",
    "kind": "arxiv",
    "version": 2
  }
}