Pith Number

pith:DIXSVKTE

pith:2013:DIXSVKTE46M4KTZEVOSMYE2APQ

not attested not anchored not stored refs pending

The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle

Heinz H. Bauschke, Hung M. Phan, J.Y. Bello Cruz, Tran T.A. Nghia, Xianfu Wang

arxiv:1309.4709 v2 · 2013-09-18 · math.OC · math.FA · 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{DIXSVKTE46M4KTZEVOSMYE2APQ}

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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	2026-05-18T03:04:06.295497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a2f2aaa64e799c54f24aba4cc13407c391b66762992c8657e99796ce5a5f1c5

Aliases

arxiv: 1309.4709 · arxiv_version: 1309.4709v2 · doi: 10.48550/arxiv.1309.4709 · pith_short_12: DIXSVKTE46M4 · pith_short_16: DIXSVKTE46M4KTZE · pith_short_8: DIXSVKTE

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/DIXSVKTE46M4KTZEVOSMYE2APQ \
  | 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: 1a2f2aaa64e799c54f24aba4cc13407c391b66762992c8657e99796ce5a5f1c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "921eb6bc10c40882317a291216108740d5752fe8336d180ff80541e8169248cb",
    "cross_cats_sorted": [
      "math.FA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-09-18T17:14:30Z",
    "title_canon_sha256": "4d1e9a58d1a17edacb8bb5c48763277ebb9c4d6d8f3d069a1addb0530afd5671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4709",
    "kind": "arxiv",
    "version": 2
  }
}