Pith Number

pith:O4CLK34Y

pith:2016:O4CLK34YY5QHU5ND5HWXQDZ7CP

not attested not anchored not stored refs pending

Global rates of convergence for nonconvex optimization on manifolds

Coralia Cartis, Nicolas Boumal, P.-A. Absil

arxiv:1605.08101 v2 · 2016-05-25 · math.OC · 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{O4CLK34YY5QHU5ND5HWXQDZ7CP}

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	2026-05-18T00:17:19.816846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7704b56f98c7607a75a3e9ed780f3f13ee397d9755634d231f223d3414434f3e

Aliases

arxiv: 1605.08101 · arxiv_version: 1605.08101v2 · doi: 10.48550/arxiv.1605.08101 · pith_short_12: O4CLK34YY5QH · pith_short_16: O4CLK34YY5QHU5ND · pith_short_8: O4CLK34Y

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/O4CLK34YY5QHU5ND5HWXQDZ7CP \
  | 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: 7704b56f98c7607a75a3e9ed780f3f13ee397d9755634d231f223d3414434f3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d83efa83ff258d470ec22c6f18049ffb93521497a88e994efea9a3b6b6e5a2",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-25T23:18:16Z",
    "title_canon_sha256": "e0adcf324ab37d535570372d4a64493442397ffefbac9161ac51fe1e6f2b1435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08101",
    "kind": "arxiv",
    "version": 2
  }
}