Pith Number

pith:5MSFIM3W

pith:2014:5MSFIM3W64TE6UPQFOGVAEWIJZ

not attested not anchored not stored refs pending

Lyapunov Approach to Consensus Problems

Angelia Nedich, Ji Liu

arxiv:1407.7585 v1 · 2014-07-28 · 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{5MSFIM3W64TE6UPQFOGVAEWIJZ}

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	2026-05-18T02:46:22.283920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb24543376f7264f51f02b8d5012c84e7fa3cbfc66c1a1310a3fb6ddc449744d

Aliases

arxiv: 1407.7585 · arxiv_version: 1407.7585v1 · doi: 10.48550/arxiv.1407.7585 · pith_short_12: 5MSFIM3W64TE · pith_short_16: 5MSFIM3W64TE6UPQ · pith_short_8: 5MSFIM3W

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/5MSFIM3W64TE6UPQFOGVAEWIJZ \
  | 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: eb24543376f7264f51f02b8d5012c84e7fa3cbfc66c1a1310a3fb6ddc449744d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba4e62ea5f376b221b0a2d24b304ac9419925fa8dce90dbdb93b65eb766faeec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-07-28T22:03:39Z",
    "title_canon_sha256": "340de8b930b82f362fc4ca1a3467cf46897b1d83ebf6fcfdf18c78595238312e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7585",
    "kind": "arxiv",
    "version": 1
  }
}