Pith Number

pith:4ZZDUTLA

pith:2019:4ZZDUTLAIAPDBMU4G4MQO4NJBM

not attested not anchored not stored refs pending

Trust-Region Newton-CG with Strong Second-Order Complexity Guarantees for Nonconvex Optimization

Cl\'ement Royer, Daniel P. Robinson, Frank E. Curtis, Stephen J. Wright

arxiv:1912.04365 v3 · 2019-12-09 · 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{4ZZDUTLAIAPDBMU4G4MQO4NJBM}

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	2026-07-05T01:53:07.562477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6723a4d60401e30b29c37190771a90b3b3965d293fec7e1fad1ae9650688887

Aliases

arxiv: 1912.04365 · arxiv_version: 1912.04365v3 · doi: 10.48550/arxiv.1912.04365 · pith_short_12: 4ZZDUTLAIAPD · pith_short_16: 4ZZDUTLAIAPDBMU4 · pith_short_8: 4ZZDUTLA

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/4ZZDUTLAIAPDBMU4G4MQO4NJBM \
  | 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: e6723a4d60401e30b29c37190771a90b3b3965d293fec7e1fad1ae9650688887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce43c3ee8e381ae686f0abd6bedcf0c8b27c260cf84ed0005a2146b68cc2de22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-12-09T20:40:41Z",
    "title_canon_sha256": "02db141d326649bd5c01d734de7813d56bb534b13b27fcf19cf297288f36c786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.04365",
    "kind": "arxiv",
    "version": 3
  }
}