Pith Number

pith:TEEGCGXI

pith:2011:TEEGCGXIV4R3XYVDIGV5Z5WGS7

not attested not anchored not stored refs pending

Concentration bounds for entropy estimation of one-dimensional Gibbs measures

C. Maldonado, J.-R. Chazottes

arxiv:1102.1816 v2 · 2011-02-09 · math.DS · math.PR · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEEGCGXIV4R3XYVDIGV5Z5WGS7}

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	2026-05-18T02:03:15.036521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9908611ae8af23bbe2a341abdcf6c697f4fea8aedce6e837fbb41fbbbcaca4dd

Aliases

arxiv: 1102.1816 · arxiv_version: 1102.1816v2 · doi: 10.48550/arxiv.1102.1816 · pith_short_12: TEEGCGXIV4R3 · pith_short_16: TEEGCGXIV4R3XYVD · pith_short_8: TEEGCGXI

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/TEEGCGXIV4R3XYVDIGV5Z5WGS7 \
  | 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: 9908611ae8af23bbe2a341abdcf6c697f4fea8aedce6e837fbb41fbbbcaca4dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e35be65cec4f4f13c408e1f090fc806f7a81ae26d3ae28389e1ae6f5d282023b",
    "cross_cats_sorted": [
      "math.PR",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-09T09:03:26Z",
    "title_canon_sha256": "ac68c95dc3c16f53ff6f517aca08285eaa63a5653195e914f12d4db21167e87a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1816",
    "kind": "arxiv",
    "version": 2
  }
}