Pith Number

pith:RDGVOUQV

pith:2024:RDGVOUQVLUOBP2VGAIOAXUCGK7

not attested not anchored not stored refs pending

Stability of first-order methods in tame optimization

Lexiao Lai

arxiv:2412.00640 v1 · 2024-12-01 · 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{RDGVOUQVLUOBP2VGAIOAXUCGK7}

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	2026-07-05T09:42:44.558437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88cd5752155d1c17eaa6021c0bd04657d22dbf11caf8c26384ff0f3d7c1f252d

Aliases

arxiv: 2412.00640 · arxiv_version: 2412.00640v1 · doi: 10.48550/arxiv.2412.00640 · pith_short_12: RDGVOUQVLUOB · pith_short_16: RDGVOUQVLUOBP2VG · pith_short_8: RDGVOUQV

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/RDGVOUQVLUOBP2VGAIOAXUCGK7 \
  | 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: 88cd5752155d1c17eaa6021c0bd04657d22dbf11caf8c26384ff0f3d7c1f252d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5abb142d29b13f971b7a2081aed32890600f2989415e228779464971b1cf702",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-01T01:39:57Z",
    "title_canon_sha256": "dd1c29347b2cfc2cd1cce17a77cb6de5c9b84c6fe8ff3cc7d1895e4b0cb2a112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00640",
    "kind": "arxiv",
    "version": 1
  }
}