Pith Number

pith:XN3WWPWP

pith:2023:XN3WWPWP5IU6PNFUJEQIX4ZXV6

not attested not anchored not stored refs pending

Bowen's equations for invariance pressure of control systems

Ercai Chen, Jiao Yang, Rui Yang, Xiaoyao Zhou

arxiv:2309.01628 v3 · 2023-09-04 · math.OC · cs.IT · math.DS · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XN3WWPWP5IU6PNFUJEQIX4ZXV6}

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	2026-07-05T10:06:01.563429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb776b3ecfea29e7b4b449208bf337afbcb11504ab27bc39204a2e5901d5eb83

Aliases

arxiv: 2309.01628 · arxiv_version: 2309.01628v3 · doi: 10.48550/arxiv.2309.01628 · pith_short_12: XN3WWPWP5IU6 · pith_short_16: XN3WWPWP5IU6PNFU · pith_short_8: XN3WWPWP

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/XN3WWPWP5IU6PNFUJEQIX4ZXV6 \
  | 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: bb776b3ecfea29e7b4b449208bf337afbcb11504ab27bc39204a2e5901d5eb83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f27f112c4c4bd94de07c1a8b08ea47b1922d422af31a1aa5c553bfc01f4171",
    "cross_cats_sorted": [
      "cs.IT",
      "math.DS",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-09-04T14:19:54Z",
    "title_canon_sha256": "50a2f04846eab8dbcfe52cfe0f1f4537dfd8ae606eae760406fe8499b44f2b26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.01628",
    "kind": "arxiv",
    "version": 3
  }
}