Pith Number

pith:LCL3ZR64

pith:2014:LCL3ZR64JTGPGUZ6LTF2QYQCKR

not attested not anchored not stored refs pending

A combinatorial Hopf algebra for nonlinear output feedback control systems

Kurusch Ebrahimi-Fard, Luis A. Duffaut Espinosa, W. Steven Gray

arxiv:1406.5396 v2 · 2014-06-20 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCL3ZR64JTGPGUZ6LTF2QYQCKR}

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	2026-05-18T01:19:44.814397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5897bcc7dc4cccf3533e5ccba8620254440cea3b8b0eed70564c975345d6b064

Aliases

arxiv: 1406.5396 · arxiv_version: 1406.5396v2 · doi: 10.48550/arxiv.1406.5396 · pith_short_12: LCL3ZR64JTGP · pith_short_16: LCL3ZR64JTGPGUZ6 · pith_short_8: LCL3ZR64

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/LCL3ZR64JTGPGUZ6LTF2QYQCKR \
  | 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: 5897bcc7dc4cccf3533e5ccba8620254440cea3b8b0eed70564c975345d6b064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c60b4120b267fae33fca2e72de3cd8cc1dbb1a7ddb81dee5fcc81283a420b7",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-20T14:13:45Z",
    "title_canon_sha256": "5d7cff215d03241033ae57caccfefea2e305e94e19e57de8269708c1e91107c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5396",
    "kind": "arxiv",
    "version": 2
  }
}