Pith Number

pith:7SXMTNBU

pith:2007:7SXMTNBU26MDQVX4K7YMWFM7CW

not attested not anchored not stored refs pending

On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms

Alex Olshevsky, John N. Tsitsiklis

arxiv:0706.2876 v2 · 2007-06-19 · 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{7SXMTNBU26MDQVX4K7YMWFM7CW}

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	2026-07-04T15:10:04.442142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcaec9b434d7983856fc57f0cb159f15ad486f68b888484e5cbd060588f043eb

Aliases

arxiv: 0706.2876 · arxiv_version: 0706.2876v2 · doi: 10.48550/arxiv.0706.2876 · pith_short_12: 7SXMTNBU26MD · pith_short_16: 7SXMTNBU26MDQVX4 · pith_short_8: 7SXMTNBU

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/7SXMTNBU26MDQVX4K7YMWFM7CW \
  | 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: fcaec9b434d7983856fc57f0cb159f15ad486f68b888484e5cbd060588f043eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "508a5f699263ba9cf72c5a04951bdbdca06ecf4a2a1eb9b0b3a9c81ba6ceb465",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2007-06-19T20:36:43Z",
    "title_canon_sha256": "035d91ed738704d557066ae6a7331a4966e4bc3105f2682e924f3362f9b62857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2876",
    "kind": "arxiv",
    "version": 2
  }
}