Pith Number

pith:XZIDHZEI

pith:2026:XZIDHZEIGZCZKB44E5HJL3O7QA

not attested not anchored not stored refs pending

Sharp First-Order Lower Bounds under Sublevel $\alpha$-Polyak-Lojasiewicz Conditions

Negar Kiyavash, Patrick Thiran, Saeed Masiha

arxiv:2606.28278 v1 · 2026-06-26 · 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{XZIDHZEIGZCZKB44E5HJL3O7QA}

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	2026-06-29T01:15:11.785231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be5033e488364595079c274e95eddf80130ca32d96788c2fcd788c7e921ffca7

Aliases

arxiv: 2606.28278 · arxiv_version: 2606.28278v1 · doi: 10.48550/arxiv.2606.28278 · pith_short_12: XZIDHZEIGZCZ · pith_short_16: XZIDHZEIGZCZKB44 · pith_short_8: XZIDHZEI

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/XZIDHZEIGZCZKB44E5HJL3O7QA \
  | 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: be5033e488364595079c274e95eddf80130ca32d96788c2fcd788c7e921ffca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e1376f094772f52f496cb7354d90389b3763514a1f33f5e26326c1d75b953b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-26T17:19:55Z",
    "title_canon_sha256": "d8774dd2b89af13edf9b07e7e2b3cf5eefd6af316aa5b84ff28d1c43eaafd334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28278",
    "kind": "arxiv",
    "version": 1
  }
}