Pith Number

pith:7C4JXJJ2

pith:2016:7C4JXJJ2C43JGI5O37KMESHBBN

not attested not anchored not stored refs pending

Gradient approximation and extremum seeking via needle variations

Christian Ebenbauer, Simon Michalowsky

arxiv:1603.04314 v1 · 2016-03-14 · cs.SY · 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{7C4JXJJ2C43JGI5O37KMESHBBN}

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	2026-05-18T01:19:07.056701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8b89ba53a17369323aedfd4c248e10b5b3289943ad6ce139f4033e244215937

Aliases

arxiv: 1603.04314 · arxiv_version: 1603.04314v1 · doi: 10.48550/arxiv.1603.04314 · pith_short_12: 7C4JXJJ2C43J · pith_short_16: 7C4JXJJ2C43JGI5O · pith_short_8: 7C4JXJJ2

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/7C4JXJJ2C43JGI5O37KMESHBBN \
  | 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: f8b89ba53a17369323aedfd4c248e10b5b3289943ad6ce139f4033e244215937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d0eb3f4d84857d7372ade4d0080022020ef6f932e17866e4550f8073524f950",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2016-03-14T15:56:29Z",
    "title_canon_sha256": "a2c635b18fca519cb13c68da238de9bb7963bbcfe3f62a1a59353df5f6488a1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04314",
    "kind": "arxiv",
    "version": 1
  }
}