Pith Number

pith:LHJZ5TET

pith:2026:LHJZ5TETAF43WOCT5IP4G7MVYI

not attested not anchored not stored refs pending

Acceleration for Polyak-{\L}ojasiewicz Functions with a Gradient Aiming Condition

Julien Hermant

arxiv:2602.10022 v2 · 2026-02-10 · 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{LHJZ5TETAF43WOCT5IP4G7MVYI}

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	2026-06-12T01:09:22.206347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d39ecc930179bb3853ea1fc37d95c2196feb48c950a8dde0a5ffda4721f120

Aliases

arxiv: 2602.10022 · arxiv_version: 2602.10022v2 · doi: 10.48550/arxiv.2602.10022 · pith_short_12: LHJZ5TETAF43 · pith_short_16: LHJZ5TETAF43WOCT · pith_short_8: LHJZ5TET

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/LHJZ5TETAF43WOCT5IP4G7MVYI \
  | 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: 59d39ecc930179bb3853ea1fc37d95c2196feb48c950a8dde0a5ffda4721f120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7731fdbec4ec791229d7ab07dd9096b213542d324e865a6c43df84ab79c6f9c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-02-10T17:42:38Z",
    "title_canon_sha256": "cd29142607d9fe2241618d11087457b224f0e9e3667ad228f066a0b093a7affc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.10022",
    "kind": "arxiv",
    "version": 2
  }
}