Pith Number

pith:P47QKQOO

pith:2013:P47QKQOOTY3QJLYUF5T6JF7JPJ

not attested not anchored not stored refs pending

A bundle method using two polyhedral approximations of the epsilon-enlargement of a maximal monotone operator

Ludovic Nagesseur

arxiv:1305.5810 v1 · 2013-05-24 · math.OC · 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{P47QKQOOTY3QJLYUF5T6JF7JPJ}

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	2026-05-18T03:25:03.083895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f3f0541ce9e3704af142f67e497e97a4a9fef92a8865425744789c40aba698f

Aliases

arxiv: 1305.5810 · arxiv_version: 1305.5810v1 · doi: 10.48550/arxiv.1305.5810 · pith_short_12: P47QKQOOTY3Q · pith_short_16: P47QKQOOTY3QJLYU · pith_short_8: P47QKQOO

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/P47QKQOOTY3QJLYUF5T6JF7JPJ \
  | 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: 7f3f0541ce9e3704af142f67e497e97a4a9fef92a8865425744789c40aba698f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "455cd1bafa5a6adf5b04ed33a1c97b31b26392a3e740c37194216d0cb1b97dc8",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-05-24T17:43:14Z",
    "title_canon_sha256": "8b0ed68c0572b4d86c55a138e7f421f5b2222116d95f1b476b7ba8160b7da3e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5810",
    "kind": "arxiv",
    "version": 1
  }
}