Pith Number

pith:GR4UWEQB

pith:2010:GR4UWEQBBARACE5RJ4MGXKI32S

not attested not anchored not stored refs pending

The sum of a maximally monotone linear relation and the subdifferential of a proper lower semicontinuous convex function is maximally monotone

Liangjin Yao

arxiv:1010.4346 v1 · 2010-10-21 · 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{GR4UWEQBBARACE5RJ4MGXKI32S}

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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	2026-05-18T04:38:58.819220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34794b120108220113b14f186ba91bd48626fa880a2c556b436ad36e3e56b44e

Aliases

arxiv: 1010.4346 · arxiv_version: 1010.4346v1 · doi: 10.48550/arxiv.1010.4346 · pith_short_12: GR4UWEQBBARA · pith_short_16: GR4UWEQBBARACE5R · pith_short_8: GR4UWEQB

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/GR4UWEQBBARACE5RJ4MGXKI32S \
  | 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: 34794b120108220113b14f186ba91bd48626fa880a2c556b436ad36e3e56b44e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c403d4b81953a6cd46bf57ba84bc908027be6a2afc047f4471bfa3c1d6f6ffec",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-21T01:00:43Z",
    "title_canon_sha256": "63cd790cedbef48b54886e3f370a3edc2e67d04a534cb90e7e4131cf0b8e8508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4346",
    "kind": "arxiv",
    "version": 1
  }
}