Pith Number

pith:D7QHCNC2

pith:2026:D7QHCNC2QO7XVCP4XQTVF2YVAZ

not attested not anchored not stored refs pending

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework

Andre Milzarek, Bohao Ma, Junwen Qiu, Junyu Zhang

arxiv:2608.03001 v1 · 2026-08-04 · math.OC · cs.LG · math.DS · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7QHCNC2QO7XVCP4XQTVF2YVAZ}

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	2026-08-05T00:44:22.404796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe071345a83bf7a89fcbc2752eb15067f0aa12ec5fbe32bb2330bdffd1306f3

Aliases

arxiv: 2608.03001 · arxiv_version: 2608.03001v1 · doi: 10.48550/arxiv.2608.03001 · pith_short_12: D7QHCNC2QO7X · pith_short_16: D7QHCNC2QO7XVCP4 · pith_short_8: D7QHCNC2

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/D7QHCNC2QO7XVCP4XQTVF2YVAZ \
  | 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: 1fe071345a83bf7a89fcbc2752eb15067f0aa12ec5fbe32bb2330bdffd1306f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "377e0841c1f13848ee34c6da419713f5403e1d6ac0e4933d14f2c90c70f6db7a",
    "cross_cats_sorted": [
      "cs.LG",
      "math.DS",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-04T01:34:36Z",
    "title_canon_sha256": "725657bfe2219425196e8dbf81e32c9a25ed58b16c1d2d70f3d2c748f2f3acf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03001",
    "kind": "arxiv",
    "version": 1
  }
}