Pith Number

pith:QHM3FKUC

pith:2015:QHM3FKUC4XFMS7NSNBQJAN3NZR

not attested not anchored not stored refs pending

Quadratic Optimization with Orthogonality Constraints: Explicit Lojasiewicz Exponent and Linear Convergence of Line-Search Methods

Anthony Man-Cho So, Huikang Liu, Weijie Wu

arxiv:1510.01025 v1 · 2015-10-05 · math.OC · cs.LG · 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{QHM3FKUC4XFMS7NSNBQJAN3NZR}

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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.

Receipt and verification

First computed	2026-05-18T01:31:04.963741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81d9b2aa82e5cac97db2686090376dcc622f356f6ee3468131ac50ebaf446ea7

Aliases

arxiv: 1510.01025 · arxiv_version: 1510.01025v1 · doi: 10.48550/arxiv.1510.01025 · pith_short_12: QHM3FKUC4XFM · pith_short_16: QHM3FKUC4XFMS7NS · pith_short_8: QHM3FKUC

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/QHM3FKUC4XFMS7NSNBQJAN3NZR \
  | 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: 81d9b2aa82e5cac97db2686090376dcc622f356f6ee3468131ac50ebaf446ea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab6080d62849a34c4003caa48cab14474c6061cf9670988afb3f2217c29596f0",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-10-05T04:14:22Z",
    "title_canon_sha256": "ca4c444a28a7bfac35c338cb68ea9337430a8fdafa50daa9bdcb748d9c71498f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01025",
    "kind": "arxiv",
    "version": 1
  }
}