Pith Number

pith:ZMYT3WRN

pith:2025:ZMYT3WRNZ7J5KWIAS6UYNYUWG5

not attested not anchored not stored refs pending

Inexact Projected Preconditioned Gradient Methods with Variable Metrics: General Convergence Theory via Lyapunov Approach

Jun Zou, Ruchi Guo

arxiv:2506.03671 v1 · 2025-06-04 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMYT3WRNZ7J5KWIAS6UYNYUWG5}

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	2026-07-05T11:15:49.686021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb313dda2dcfd3d5590097a986e296374caa2d52fadcc2a3eebf388cf6f05c5c

Aliases

arxiv: 2506.03671 · arxiv_version: 2506.03671v1 · doi: 10.48550/arxiv.2506.03671 · pith_short_12: ZMYT3WRNZ7J5 · pith_short_16: ZMYT3WRNZ7J5KWIA · pith_short_8: ZMYT3WRN

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/ZMYT3WRNZ7J5KWIAS6UYNYUWG5 \
  | 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: cb313dda2dcfd3d5590097a986e296374caa2d52fadcc2a3eebf388cf6f05c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6ecc20047217a7f606cb74f0db48fa6a48cbe1dbd5809bce8b1f83ba3021ec5",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-04T08:02:47Z",
    "title_canon_sha256": "c8dee43212031d9aeed2cef4cc16cbeaf430014fa1808ed4985340a2ec400c6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03671",
    "kind": "arxiv",
    "version": 1
  }
}