Pith Number

pith:7VMTNPMY

pith:2012:7VMTNPMYD356VN52MZBGUJCQRO

not attested not anchored not stored refs pending

Distributed Optimization: Convergence Conditions from a Dynamical System Perspective

Alexandre Proutiere, Guodong Shi, Karl Henrik Johansson

arxiv:1210.6685 v1 · 2012-10-24 · cs.SY · cs.DC · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VMTNPMYD356VN52MZBGUJCQRO}

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	2026-05-18T03:42:23.344288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5936bd981efbeab7ba66426a24508ba141d0024bd544450e096e7084c0085f

Aliases

arxiv: 1210.6685 · arxiv_version: 1210.6685v1 · doi: 10.48550/arxiv.1210.6685 · pith_short_12: 7VMTNPMYD356 · pith_short_16: 7VMTNPMYD356VN52 · pith_short_8: 7VMTNPMY

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/7VMTNPMYD356VN52MZBGUJCQRO \
  | 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: fd5936bd981efbeab7ba66426a24508ba141d0024bd544450e096e7084c0085f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da7a1f2fa0579471772e52f28ba63370d072bae38e18d8898907e7f8cdf56abc",
    "cross_cats_sorted": [
      "cs.DC",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2012-10-24T21:28:36Z",
    "title_canon_sha256": "112b915bbdbe842e2c4988bf4e8b7def0adc344d8a1d86f6adedd211f69babfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6685",
    "kind": "arxiv",
    "version": 1
  }
}