Pith Number

pith:4O3QACH3

pith:2012:4O3QACH3MBLGLUWSD64AB2OT2K

not attested not anchored not stored refs pending

Entropy of homeomorphisms on unimodal inverse limit spaces

Henk Bruin, Sonja Stimac

arxiv:1209.5596 v2 · 2012-09-25 · 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{4O3QACH3MBLGLUWSD64AB2OT2K}

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	2026-05-18T00:40:42.264282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b70008fb605665d2d21fb800e9d3d287b03eb6ed401c4619a022bee59e5662

Aliases

arxiv: 1209.5596 · arxiv_version: 1209.5596v2 · doi: 10.48550/arxiv.1209.5596 · pith_short_12: 4O3QACH3MBLG · pith_short_16: 4O3QACH3MBLGLUWS · pith_short_8: 4O3QACH3

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/4O3QACH3MBLGLUWSD64AB2OT2K \
  | 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: e3b70008fb605665d2d21fb800e9d3d287b03eb6ed401c4619a022bee59e5662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a68d27b2ea0f564de64a06c74ed9c4ef1b4feda838fa697b755c5658ae428413",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-25T13:04:46Z",
    "title_canon_sha256": "709bff9cb83b66c9519aaa5ce0b02a9c358906fcfe5d7723b18484031153716f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5596",
    "kind": "arxiv",
    "version": 2
  }
}