Pith Number

pith:OE7BKWGT

pith:2019:OE7BKWGTAXVPYPAAXPLIXBC33O

not attested not anchored not stored refs pending

Entropy inequalities and exponential decay of correlations for unique Gibbs measures on trees

Andrei Alpeev

arxiv:1904.12352 v1 · 2019-04-28 · math.PR · cs.IT · math.DS · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OE7BKWGTAXVPYPAAXPLIXBC33O}

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	2026-05-17T23:47:35.382060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

713e1558d305eafc3c00bbd68b845bdbb3b278678aa1da98475addf6388309da

Aliases

arxiv: 1904.12352 · arxiv_version: 1904.12352v1 · doi: 10.48550/arxiv.1904.12352 · pith_short_12: OE7BKWGTAXVP · pith_short_16: OE7BKWGTAXVPYPAA · pith_short_8: OE7BKWGT

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/OE7BKWGTAXVPYPAAXPLIXBC33O \
  | 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: 713e1558d305eafc3c00bbd68b845bdbb3b278678aa1da98475addf6388309da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56373829714dd0448fc4ef97c44e7aed0635f7e9bdb1ada34f98079fb34a58ba",
    "cross_cats_sorted": [
      "cs.IT",
      "math.DS",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-28T17:42:34Z",
    "title_canon_sha256": "7713cd08ab3bb27b9e9870b239385000816e21507d97318d577aa52516234c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12352",
    "kind": "arxiv",
    "version": 1
  }
}