Pith Number

pith:XU3ZPFF6

pith:2026:XU3ZPFF67WQMOODKQLI2J5ILMJ

not attested not anchored not stored refs pending

Toward a Systematic Understanding and Interactive Search of Lyapunov-Style Proofs in Optimization

Bicheng Ying, Edward Duc Hien Nguyen, Jaewook J. Suh, Shiqian Ma, TaeHo Yoon

arxiv:2606.26077 v1 · 2026-06-24 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XU3ZPFF67WQMOODKQLI2J5ILMJ}

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	2026-06-25T01:18:47.937530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd379794befda0c7386a82d1a4f50b624c27d14a043daea3d1d3c0b25c0e21de

Aliases

arxiv: 2606.26077 · arxiv_version: 2606.26077v1 · doi: 10.48550/arxiv.2606.26077 · pith_short_12: XU3ZPFF67WQM · pith_short_16: XU3ZPFF67WQMOODK · pith_short_8: XU3ZPFF6

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/XU3ZPFF67WQMOODKQLI2J5ILMJ \
  | 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: bd379794befda0c7386a82d1a4f50b624c27d14a043daea3d1d3c0b25c0e21de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2030d47a1d757535d3553fbb03d773370f1433fa0f913fb3313208367d4979",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-24T17:52:54Z",
    "title_canon_sha256": "60d058cfb2459c5ecb6f48c2b9b7a0ac75c2db06f9dd0ed1fb218db0d81c5771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26077",
    "kind": "arxiv",
    "version": 1
  }
}