Pith Number

pith:B4YDU3TE

pith:2015:B4YDU3TEEXUFBUEFXKARTJANH4

not attested not anchored not stored refs pending

Markov Chain Analysis of Cumulative Step-size Adaptation on a Linear Constrained Problem

Alexandre Chotard (LRI, Anne Auger (LRI, LRI), Nikolaus Hansen (TAO, TAO)

arxiv:1510.04409 v1 · 2015-10-15 · 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{B4YDU3TEEXUFBUEFXKARTJANH4}

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	2026-05-18T01:30:07.265758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f303a6e6425e850d085ba8119a40d3f319dce0015b740836f9f83c21499433d

Aliases

arxiv: 1510.04409 · arxiv_version: 1510.04409v1 · doi: 10.48550/arxiv.1510.04409 · pith_short_12: B4YDU3TEEXUF · pith_short_16: B4YDU3TEEXUFBUEF · pith_short_8: B4YDU3TE

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/B4YDU3TEEXUFBUEFXKARTJANH4 \
  | 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: 0f303a6e6425e850d085ba8119a40d3f319dce0015b740836f9f83c21499433d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a4db48b76a932223d4017d8217f3f4942031a3e8be4de243fb0e2095e6eb403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-10-15T06:06:43Z",
    "title_canon_sha256": "ee9f0a2879ea5ecac6c3e1b1163743365c25042c0e86ac74c5c4467f4cb3af58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04409",
    "kind": "arxiv",
    "version": 1
  }
}