Pith Number

pith:Y5OF7DUU

pith:2017:Y5OF7DUUJMVKN2ZN74WFRCO672

not attested not anchored not stored refs pending

Variational principles for t-entropy, the spectral potential of transfer operator, and entropy statistic theorem are equivalent

A.V. Lebedev, V.I. Bakhtin

arxiv:1707.01431 v1 · 2017-07-04 · 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{Y5OF7DUUJMVKN2ZN74WFRCO672}

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	2026-05-18T00:40:52.330128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c75c5f8e944b2aa6eb2dff2c5889defebd3b001f01a3b4a4f4e7b43f23b3dc27

Aliases

arxiv: 1707.01431 · arxiv_version: 1707.01431v1 · doi: 10.48550/arxiv.1707.01431 · pith_short_12: Y5OF7DUUJMVK · pith_short_16: Y5OF7DUUJMVKN2ZN · pith_short_8: Y5OF7DUU

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/Y5OF7DUUJMVKN2ZN74WFRCO672 \
  | 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: c75c5f8e944b2aa6eb2dff2c5889defebd3b001f01a3b4a4f4e7b43f23b3dc27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b14fc3aba2155ee46701747ee5f67189c4f72fc45beb2148ba3e27080fc02c92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-04T09:58:07Z",
    "title_canon_sha256": "f6619a5a9d6bd0118b8f1bf6f7159a27302caa7bce4757cbe40e8e902c915a8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01431",
    "kind": "arxiv",
    "version": 1
  }
}