Pith Number

pith:6R4Q734J

pith:2011:6R4Q734JNKUJHZEFSZ252KBF37

not attested not anchored not stored refs pending

Degree Fluctuations and the Convergence Time of Consensus Algorithms

Alex Olshevsky, John Tsitsiklis

arxiv:1104.0454 v3 · 2011-04-04 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6R4Q734JNKUJHZEFSZ252KBF37}

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	2026-05-18T03:41:20.426491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4790fef896aa893e4859675dd2825dfcfb356910a97c2379c45e3b06e651605

Aliases

arxiv: 1104.0454 · arxiv_version: 1104.0454v3 · doi: 10.48550/arxiv.1104.0454 · pith_short_12: 6R4Q734JNKUJ · pith_short_16: 6R4Q734JNKUJHZEF · pith_short_8: 6R4Q734J

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/6R4Q734JNKUJHZEFSZ252KBF37 \
  | 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: f4790fef896aa893e4859675dd2825dfcfb356910a97c2379c45e3b06e651605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32699473a8289475406644f255a138964196fa367b546b3de27abd3a666ad369",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-04-04T02:26:41Z",
    "title_canon_sha256": "c2004435f93fdf1c84f8cfc334ab1565f9be4e74123d2d0c6d8ad2b8cee11a73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0454",
    "kind": "arxiv",
    "version": 3
  }
}