Pith Number

pith:2OXOHDBO

pith:2025:2OXOHDBO2AFT4AGVL2RYWOU2N6

not attested not anchored not stored refs pending

Lyapunov stability and uniqueness problems for Hamilton-Jacobi equations without monotonicity

Jun Yan, Kaizhi Wang, Yuqi Ruan

arxiv:2501.08556 v1 · 2025-01-15 · math.AP · 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{2OXOHDBO2AFT4AGVL2RYWOU2N6}

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	2026-07-05T10:01:21.171745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3aee38c2ed00b3e00d55ea38b3a9a6fab07c98daba48af46c74bf94920538a7

Aliases

arxiv: 2501.08556 · arxiv_version: 2501.08556v1 · doi: 10.48550/arxiv.2501.08556 · pith_short_12: 2OXOHDBO2AFT · pith_short_16: 2OXOHDBO2AFT4AGV · pith_short_8: 2OXOHDBO

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/2OXOHDBO2AFT4AGVL2RYWOU2N6 \
  | 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: d3aee38c2ed00b3e00d55ea38b3a9a6fab07c98daba48af46c74bf94920538a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b46f0a5c1f8b383eb4079273933a7e1740f70d2826ce96382136f7cd4f1d5e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-15T03:47:52Z",
    "title_canon_sha256": "64bb4d8202677740213fd1c9fc83867bd6976879a34c59eee9276f547ff04757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.08556",
    "kind": "arxiv",
    "version": 1
  }
}