Pith Number

pith:LNX4P3I4

pith:2017:LNX4P3I4N3277K5WC3CNUEZX4S

not attested not anchored not stored refs pending

Penalty Dual Decomposition Method For Nonsmooth Nonconvex Optimization

Mingyi Hong, Qingjiang Shi, Tsung-Hui Chang, Xiao Fu

arxiv:1712.04767 v1 · 2017-12-13 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNX4P3I4N3277K5WC3CNUEZX4S}

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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	2026-05-18T00:28:03.545065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b6fc7ed1c6ef5ffabb616c4da1337e4a43d6ada41e3b641c3f9d33da26aa07f

Aliases

arxiv: 1712.04767 · arxiv_version: 1712.04767v1 · doi: 10.48550/arxiv.1712.04767 · pith_short_12: LNX4P3I4N327 · pith_short_16: LNX4P3I4N3277K5W · pith_short_8: LNX4P3I4

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/LNX4P3I4N3277K5WC3CNUEZX4S \
  | 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: 5b6fc7ed1c6ef5ffabb616c4da1337e4a43d6ada41e3b641c3f9d33da26aa07f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a09904fe5ca8cb1d86a7ec87e2dc15b1924b2cd20a0e38417b87e154788a1402",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-12-13T13:53:46Z",
    "title_canon_sha256": "6019ff85759594f27a9a9496775e3157405352920a9eebce3b863d01408a1235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04767",
    "kind": "arxiv",
    "version": 1
  }
}