Pith Number

pith:6G27MTOL

pith:2014:6G27MTOLPF65LO5PYJ57PDWTGH

not attested not anchored not stored refs pending

Invariance Entropy of Hyperbolic Control Sets

Adriano Da Silva, Christoph Kawan

arxiv:1408.2416 v1 · 2014-08-11 · math.OC · 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{6G27MTOLPF65LO5PYJ57PDWTGH}

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	2026-05-18T02:45:29.456287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b5f64dcb797dd5bbafc27bf78ed331ff85891879e41b77e29b8c9b3c24e859

Aliases

arxiv: 1408.2416 · arxiv_version: 1408.2416v1 · doi: 10.48550/arxiv.1408.2416 · pith_short_12: 6G27MTOLPF65 · pith_short_16: 6G27MTOLPF65LO5P · pith_short_8: 6G27MTOL

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/6G27MTOLPF65LO5PYJ57PDWTGH \
  | 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: f1b5f64dcb797dd5bbafc27bf78ed331ff85891879e41b77e29b8c9b3c24e859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f71a397b4ca55891b15afda14fccb004e945c1d058b35cf326782041aa4e2373",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-08-11T14:17:00Z",
    "title_canon_sha256": "dc18deec1a70ac77ee058f1ef8e8a7a2d142d2422d9d2b3d3a82c66edd03cd58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2416",
    "kind": "arxiv",
    "version": 1
  }
}