pith. sign in
Pith Number

pith:YNAKBDB5

pith:2011:YNAKBDB57J3YVLO3ZXALFVHKI6
not attested not anchored not stored refs pending

A Proof of Convergence For the Alternating Direction Method of Multipliers Applied to Polyhedral-Constrained Functions

Jo\~ao F. C. Mota, Jo\~ao M. F. Xavier, Markus P\"uschel, Pedro M. Q. Aguiar

arxiv:1112.2295 v1 · 2011-12-10 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YNAKBDB57J3YVLO3ZXALFVHKI6}

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 2026-05-18T04:06:34.879492Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c340a08c3dfa778aaddbcdc0b2d4ea47b125cfbdfc401a8e567358e529d390a0

Aliases

arxiv: 1112.2295 · arxiv_version: 1112.2295v1 · doi: 10.48550/arxiv.1112.2295 · pith_short_12: YNAKBDB57J3Y · pith_short_16: YNAKBDB57J3YVLO3 · pith_short_8: YNAKBDB5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YNAKBDB57J3YVLO3ZXALFVHKI6 \
  | 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: c340a08c3dfa778aaddbcdc0b2d4ea47b125cfbdfc401a8e567358e529d390a0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d239e163a323fe28e814a172140bc455bd461abef28710e8184074ba060ca03f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-10T18:39:09Z",
    "title_canon_sha256": "ac38aa8e16f2a8bf9195ec61286ee66dea3ee85f2fd16208f9682180747d063d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2295",
    "kind": "arxiv",
    "version": 1
  }
}