Pith Number

pith:2WPO47OH

pith:2012:2WPO47OHKQXDV3PJZ2X2WQUL7I

not attested not anchored not stored refs pending

Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator

Jonathan M. Borwein, Liangjin Yao

arxiv:1212.4266 v1 · 2012-12-18 · math.FA · 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{2WPO47OHKQXDV3PJZ2X2WQUL7I}

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	2026-05-18T03:38:13.466895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d59eee7dc7542e3aede9ceafab428bfa344f04977f0a088f83a45dd4eace6b7b

Aliases

arxiv: 1212.4266 · arxiv_version: 1212.4266v1 · doi: 10.48550/arxiv.1212.4266 · pith_short_12: 2WPO47OHKQXD · pith_short_16: 2WPO47OHKQXDV3PJ · pith_short_8: 2WPO47OH

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/2WPO47OHKQXDV3PJZ2X2WQUL7I \
  | 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: d59eee7dc7542e3aede9ceafab428bfa344f04977f0a088f83a45dd4eace6b7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b04985f2558a82a26cf3c05e50ea6c6f979fa823a9ca6d48b7e5317de65fc3",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-18T08:33:25Z",
    "title_canon_sha256": "5552e0a7f77a1a0f21aaf9cc7f46f9bd1f1e4904d471da4e7cfd18dbb1a459d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4266",
    "kind": "arxiv",
    "version": 1
  }
}