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Pith Number

pith:P33OYL2W

pith:2014:P33OYL2WA7PO3SWI3TNUNHLN2C
not attested not anchored not stored refs pending

On the range of the Douglas-Rachford operator

Heinz H. Bauschke, Walaa M. Moursi, Warren L. Hare

arxiv:1405.4006 v2 · 2014-05-15 · math.OC · math.FA · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P33OYL2WA7PO3SWI3TNUNHLN2C}

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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 2026-05-18T02:46:05.930983Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ef6ec2f5607deedcac8dcdb469d6dd0b3d0c7d4f290fb8a12ba3c9132c97f87

Aliases

arxiv: 1405.4006 · arxiv_version: 1405.4006v2 · doi: 10.48550/arxiv.1405.4006 · pith_short_12: P33OYL2WA7PO · pith_short_16: P33OYL2WA7PO3SWI · pith_short_8: P33OYL2W
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P33OYL2WA7PO3SWI3TNUNHLN2C \
  | 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: 7ef6ec2f5607deedcac8dcdb469d6dd0b3d0c7d4f290fb8a12ba3c9132c97f87
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "533fe71e567c3dbe4b7c62027c380cb2f6cf1a69b3085ee2c4dc1398920a03c0",
    "cross_cats_sorted": [
      "math.FA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-05-15T20:27:30Z",
    "title_canon_sha256": "703c5b9c334338d6434ee866f8ec49f1bbdae71243ab4c7c97bea4427a254337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4006",
    "kind": "arxiv",
    "version": 2
  }
}