Pith Number

pith:HDXCNHLG

pith:2014:HDXCNHLG2N4BOZCXML2TOFSWWG

not attested not anchored not stored refs pending

Three Laws of Multivariable Feedback Systems, Extended Spectral Flatness (Extended Wiener Entropy), 'Uncertainty Principles' in Variance Minimization, and Performance Limitations in Minimum Variance Estimation/Filtering

Song Fang

arxiv:1412.1056 v4 · 2014-12-01 · cs.SY · cs.IT · math.IT · 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{HDXCNHLG2N4BOZCXML2TOFSWWG}

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	2026-05-18T02:30:54.563706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ee269d66d37817645762f5371656b18e8fd0a96b746d4051d3f24288b24c7f

Aliases

arxiv: 1412.1056 · arxiv_version: 1412.1056v4 · doi: 10.48550/arxiv.1412.1056 · pith_short_12: HDXCNHLG2N4B · pith_short_16: HDXCNHLG2N4BOZCX · pith_short_8: HDXCNHLG

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/HDXCNHLG2N4BOZCXML2TOFSWWG \
  | 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: 38ee269d66d37817645762f5371656b18e8fd0a96b746d4051d3f24288b24c7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee23f49d804aeb2177720336f50bd3846126a7ec944f4a9ef1bb75bc1de44cd5",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2014-12-01T08:20:36Z",
    "title_canon_sha256": "3a5db1138828a24936eb2296fa692303c394582fa1f441521d6bf32a2a35e788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1056",
    "kind": "arxiv",
    "version": 4
  }
}