Pith Number

pith:LY3SRTPB

pith:2024:LY3SRTPBBN3KPQLKHYHAA4VSXS

not attested not anchored not stored refs pending

Poincare Inequality for Local Log-Polyak-\L ojasiewicz Measures: Non-asymptotic Analysis in Low-temperature Regime

Niao He, Yun Gong, Zebang Shen

arxiv:2501.00429 v2 · 2024-12-31 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LY3SRTPBBN3KPQLKHYHAA4VSXS}

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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.

Cited by

2 papers in Pith

Select-then-differentiate: Solving Bilevel Optimization with Manifold Lower-level Solution Sets

On the Connectedness of Sublevel Sets in Invex Optimization

Receipt and verification

First computed	2026-07-05T10:16:40.645652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e3728cde10b76a7c16a3e0e0072b2bc803ed90180fb351692ea41eb9629c713

Aliases

arxiv: 2501.00429 · arxiv_version: 2501.00429v2 · doi: 10.48550/arxiv.2501.00429 · pith_short_12: LY3SRTPBBN3K · pith_short_16: LY3SRTPBBN3KPQLK · pith_short_8: LY3SRTPB

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/LY3SRTPBBN3KPQLKHYHAA4VSXS \
  | 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: 5e3728cde10b76a7c16a3e0e0072b2bc803ed90180fb351692ea41eb9629c713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7a3bbf151a1926bdbc9fffeafc78048e5230fe46b32a92fd1e3782d8d023a8c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-31T13:11:01Z",
    "title_canon_sha256": "cbc7d94f82a266ebb4abaa7fec5d2fa69eadcc06b8ad75709a7ca07093369227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00429",
    "kind": "arxiv",
    "version": 2
  }
}