Pith Number

pith:OIHNXTYM

pith:2023:OIHNXTYMNPZ7JFOWZ4O7HXNWWM

not attested not anchored not stored refs pending

Square distance functions are Polyak-{\L}ojasiewicz and vice-versa

Guillaume Garrigos

arxiv:2301.10332 v1 · 2023-01-24 · 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{OIHNXTYMNPZ7JFOWZ4O7HXNWWM}

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.

Cited by

1 paper in Pith

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences

Receipt and verification

First computed	2026-07-05T05:35:49.914500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

720edbcf0c6bf3f495d6cf1df3ddb6b32c63d7482e46f24f75c06f4388f0350e

Aliases

arxiv: 2301.10332 · arxiv_version: 2301.10332v1 · doi: 10.48550/arxiv.2301.10332 · pith_short_12: OIHNXTYMNPZ7 · pith_short_16: OIHNXTYMNPZ7JFOW · pith_short_8: OIHNXTYM

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/OIHNXTYMNPZ7JFOWZ4O7HXNWWM \
  | 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: 720edbcf0c6bf3f495d6cf1df3ddb6b32c63d7482e46f24f75c06f4388f0350e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "086e01a8d069fdf616ca8a5571339fb2256ee38f653ab3df06e1c35a7e036d46",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-01-24T22:25:46Z",
    "title_canon_sha256": "8155fd7411fe6bd98a6d8d9cdf29efb20f25d880937e6a936e509ed5eed06e62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.10332",
    "kind": "arxiv",
    "version": 1
  }
}