Pith Number

pith:WXGZY5K7

pith:2015:WXGZY5K7F47SQR7LX3BKFD5UQK

not attested not anchored not stored refs pending

Intrinsic Ergodicity of Open dynamical systems for the doubling map

Rafael Alcaraz Barrera

arxiv:1509.00255 v1 · 2015-09-01 · 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{WXGZY5K7F47SQR7LX3BKFD5UQK}

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	2026-05-18T01:34:14.701842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5cd9c755f2f3f2847ebbec2a28fb4829ff8b588ed0e5b9cb93748833da679f4

Aliases

arxiv: 1509.00255 · arxiv_version: 1509.00255v1 · doi: 10.48550/arxiv.1509.00255 · pith_short_12: WXGZY5K7F47S · pith_short_16: WXGZY5K7F47SQR7L · pith_short_8: WXGZY5K7

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/WXGZY5K7F47SQR7LX3BKFD5UQK \
  | 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: b5cd9c755f2f3f2847ebbec2a28fb4829ff8b588ed0e5b9cb93748833da679f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac2882dfcaf1343a78cbc6488839b5111f94edb1c11dbe2f9549f6610f3237d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-01T12:26:18Z",
    "title_canon_sha256": "abf38af111735e6f3768bd01ba365c8e9137fc9ed01d4f5b6c31a559c42bf7c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00255",
    "kind": "arxiv",
    "version": 1
  }
}