Pith Number

pith:5NKJE5ER

pith:2025:5NKJE5ERGAMKVGTDN5XUJ4XSX5

not attested not anchored not stored refs pending

Automated Functional Decomposition for Hybrid Zonotope Over-approximations with Application to LSTM Networks

Andrew F. Thompson, Herschel C. Pangborn, Jacob A. Siefert, Jonah J. Glunt, Justin Ruths

arxiv:2503.15336 v1 · 2025-03-19 · eess.SY · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NKJE5ERGAMKVGTDN5XUJ4XSX5}

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	2026-07-05T10:35:24.227715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb549274913018aa9a636f6f44f2f2bf480bfe99db5b05a7e2801e3588be75b4

Aliases

arxiv: 2503.15336 · arxiv_version: 2503.15336v1 · doi: 10.48550/arxiv.2503.15336 · pith_short_12: 5NKJE5ERGAMK · pith_short_16: 5NKJE5ERGAMKVGTD · pith_short_8: 5NKJE5ER

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/5NKJE5ERGAMKVGTDN5XUJ4XSX5 \
  | 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: eb549274913018aa9a636f6f44f2f2bf480bfe99db5b05a7e2801e3588be75b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b44116cbf25e7672990118fdeb0ef1280c038220836edc7b8f1dff201950e13",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2025-03-19T15:30:03Z",
    "title_canon_sha256": "60e77aa65965f5c4cadcd893c059faab0026c9a1d053f3a7a1491de80d3495c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.15336",
    "kind": "arxiv",
    "version": 1
  }
}