Pith Number

pith:F2AQHRLI

pith:2011:F2AQHRLIMEXEVG3RHGOQYH3LOW

not attested not anchored not stored refs pending

Examples of inconsistency in optimization by expected improvement

Dmitry Yarotsky

arxiv:1109.1320 v2 · 2011-09-06 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2AQHRLIMEXEVG3RHGOQYH3LOW}

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	2026-05-18T03:38:23.865506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8103c568612e4a9b71399d0c1f6b7590f2a584af063535d0fbc020e504962a

Aliases

arxiv: 1109.1320 · arxiv_version: 1109.1320v2 · doi: 10.48550/arxiv.1109.1320 · pith_short_12: F2AQHRLIMEXE · pith_short_16: F2AQHRLIMEXEVG3R · pith_short_8: F2AQHRLI

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/F2AQHRLIMEXEVG3RHGOQYH3LOW \
  | 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: 2e8103c568612e4a9b71399d0c1f6b7590f2a584af063535d0fbc020e504962a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92346a94127c78097e64a2cb508798b62703ece23362fdff174068473dac65d7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-09-06T22:49:39Z",
    "title_canon_sha256": "d62e8252d219e729dc1e742f004c08f936c478eb7bf97fb02aec2c16fe1761e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1320",
    "kind": "arxiv",
    "version": 2
  }
}