Pith Number

pith:QMEXXHEO

pith:2011:QMEXXHEO4QDV4HG3U74CUXBQL2

not attested not anchored not stored refs pending

Attouch-Th\'era duality revisited: paramonotonicity and operator splitting

Heinz H. Bauschke, Radu I. Bot, Walaa M. Moursi, Warren L. Hare

arxiv:1110.4877 v1 · 2011-10-21 · math.OC · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMEXXHEO4QDV4HG3U74CUXBQL2}

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	2026-05-18T04:10:34.832767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83097b9c8ee4075e1cdba7f82a5c305ea68ec2c5e67b855f8a5cc625d71b676f

Aliases

arxiv: 1110.4877 · arxiv_version: 1110.4877v1 · doi: 10.48550/arxiv.1110.4877 · pith_short_12: QMEXXHEO4QDV · pith_short_16: QMEXXHEO4QDV4HG3 · pith_short_8: QMEXXHEO

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/QMEXXHEO4QDV4HG3U74CUXBQL2 \
  | 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: 83097b9c8ee4075e1cdba7f82a5c305ea68ec2c5e67b855f8a5cc625d71b676f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ad909f7bafa2ba3cebd0f70d6d6fed75d2eb865cab3c0aa95a48175f22d0a9d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-21T19:32:04Z",
    "title_canon_sha256": "ae2b69a0ffab02f1f682916b59048d2508ac2921d6230701d0adbeda68fca70e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4877",
    "kind": "arxiv",
    "version": 1
  }
}