Pith Number

pith:BE4OMSP4

pith:2016:BE4OMSP43PXPUXLC6QUB4HZHOE

not attested not anchored not stored refs pending

Symmetry, Saddle Points, and Global Optimization Landscape of Nonconvex Matrix Factorization

Han Liu, Jarvis Haupt, Junwei Lu, Raman Arora, Tuo Zhao, Xingguo Li, Zhaoran Wang

arxiv:1612.09296 v3 · 2016-12-29 · cs.LG · math.OC · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BE4OMSP43PXPUXLC6QUB4HZHOE}

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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	2026-05-18T00:25:29.219935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0938e649fcdbeefa5d62f4281e1f27712b2fee5db02c1e9add4b3972cbeb8a15

Aliases

arxiv: 1612.09296 · arxiv_version: 1612.09296v3 · doi: 10.48550/arxiv.1612.09296 · pith_short_12: BE4OMSP43PXP · pith_short_16: BE4OMSP43PXPUXLC · pith_short_8: BE4OMSP4

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/BE4OMSP43PXPUXLC6QUB4HZHOE \
  | 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: 0938e649fcdbeefa5d62f4281e1f27712b2fee5db02c1e9add4b3972cbeb8a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a2d7d0ae0283fcd187ff8838eb7db040d5db8867c3e33f41d7c68e17ac7796",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-12-29T20:57:19Z",
    "title_canon_sha256": "6b576e13239ddd6f1b54d4f638677100adc6a7fd4c7dad8746ae0a69d42c571e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09296",
    "kind": "arxiv",
    "version": 3
  }
}