Pith Number

pith:IB7FXPZU

pith:2019:IB7FXPZUVSBSKKJ7LI6TZDJ4NZ

not attested not anchored not stored refs pending

On Bowen's entropy inequality and almost specification for flows

Diego Sanhueza, Maria Jose Pacifico

arxiv:1908.08072 v2 · 2019-08-21 · 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{IB7FXPZUVSBSKKJ7LI6TZDJ4NZ}

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	2026-07-05T04:47:37.596124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

407e5bbf34ac8325293f5a3d3c8d3c6e4142071ffa89095b4cc9d44a4e865858

Aliases

arxiv: 1908.08072 · arxiv_version: 1908.08072v2 · doi: 10.48550/arxiv.1908.08072 · pith_short_12: IB7FXPZUVSBS · pith_short_16: IB7FXPZUVSBSKKJ7 · pith_short_8: IB7FXPZU

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/IB7FXPZUVSBSKKJ7LI6TZDJ4NZ \
  | 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: 407e5bbf34ac8325293f5a3d3c8d3c6e4142071ffa89095b4cc9d44a4e865858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd3c9230ef3bc86226aa2b67659ddc5d3cb563bf1de0caaf3554d880969245c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-21T18:13:01Z",
    "title_canon_sha256": "646053625debc780392ec36bad80e517a1cf79d98759c25200ea2b5da0a22639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08072",
    "kind": "arxiv",
    "version": 2
  }
}