Pith Number

pith:FFOHNZ7Z

pith:2023:FFOHNZ7Z3QD35UF7ICQWA24ZRM

not attested not anchored not stored refs pending

Variational principle for neutralized Bowen topological entropy

Ercai Chen, Rui Yang, Xiaoyao Zhou

arxiv:2303.01738 v3 · 2023-03-03 · 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{FFOHNZ7Z3QD35UF7ICQWA24ZRM}

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	2026-07-05T08:01:58.435456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

295c76e7f9dc07bed0bf40a1606b998b1baed00e14080f2707463564402f1fd2

Aliases

arxiv: 2303.01738 · arxiv_version: 2303.01738v3 · doi: 10.48550/arxiv.2303.01738 · pith_short_12: FFOHNZ7Z3QD3 · pith_short_16: FFOHNZ7Z3QD35UF7 · pith_short_8: FFOHNZ7Z

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/FFOHNZ7Z3QD35UF7ICQWA24ZRM \
  | 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: 295c76e7f9dc07bed0bf40a1606b998b1baed00e14080f2707463564402f1fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "404afad194eba680c7454bf72fd266345ab97a826205e8dbfc147c68c1f04bc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-03-03T06:43:50Z",
    "title_canon_sha256": "a8aeededee518b22f861f0f4d6fad3a19038750f774680c08092afaa022bccbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.01738",
    "kind": "arxiv",
    "version": 3
  }
}