Pith Number

pith:JMFLV723

pith:2011:JMFLV723LIHKEP2AEBMFIIURBJ

not attested not anchored not stored refs pending

On the mean square error of randomized averaging algorithms

Julien M. Hendrickx, Paolo Frasca

arxiv:1111.4572 v3 · 2011-11-19 · math.OC · cs.SI · 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{JMFLV723LIHKEP2AEBMFIIURBJ}

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	2026-05-18T03:27:42.975769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0abaff5b5a0ea23f4020585422910a5ed9ac2f8da17e5aab1f68c3afca6683

Aliases

arxiv: 1111.4572 · arxiv_version: 1111.4572v3 · doi: 10.48550/arxiv.1111.4572 · pith_short_12: JMFLV723LIHK · pith_short_16: JMFLV723LIHKEP2A · pith_short_8: JMFLV723

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/JMFLV723LIHKEP2AEBMFIIURBJ \
  | 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: 4b0abaff5b5a0ea23f4020585422910a5ed9ac2f8da17e5aab1f68c3afca6683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ee3dee0e23ed13574b4dab22adf280404a4e8bf5f9e1b4fcb718dd29be1869",
    "cross_cats_sorted": [
      "cs.SI",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-11-19T16:50:59Z",
    "title_canon_sha256": "322ef1e05634c874b538f0aa371e88643c7a7c53968c646bae0dc2afa6b064d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4572",
    "kind": "arxiv",
    "version": 3
  }
}