Pith Number

pith:VGIMHJWR

pith:2016:VGIMHJWRJDP7632CLLHXEEGRUK

not attested not anchored not stored refs pending

On the {\L}ojasiewicz Exponent of the Quadratic Sphere Constrained Optimization Problem

Bin Gao, Xiaojun Chen, Xin Liu, Ya-Xiang Yuan

arxiv:1611.08781 v3 · 2016-11-27 · math.OC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGIMHJWRJDP7632CLLHXEEGRUK}

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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

Gradient projection and conditional gradient methods for constrained nonconvex minimization

Receipt and verification

First computed	2026-07-05T02:17:06.256420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a990c3a6d148dfff6f425acf7210d1a2982fd897e3df41113ae0f20eeab4f72a

Aliases

arxiv: 1611.08781 · arxiv_version: 1611.08781v3 · doi: 10.48550/arxiv.1611.08781 · pith_short_12: VGIMHJWRJDP7 · pith_short_16: VGIMHJWRJDP7632C · pith_short_8: VGIMHJWR

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/VGIMHJWRJDP7632CLLHXEEGRUK \
  | 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: a990c3a6d148dfff6f425acf7210d1a2982fd897e3df41113ae0f20eeab4f72a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d500c049b1877f99f09868e0c3573df91463cd8790e302a60a6941780e61f3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-11-27T04:07:32Z",
    "title_canon_sha256": "0ee31dad28533d993b656301e148d5014eb36fbfe6ba1568e6696fa1ec27e550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08781",
    "kind": "arxiv",
    "version": 3
  }
}