Pith Number

pith:IJLOM3UJ

pith:2014:IJLOM3UJOPMZPAEYM5VEI4JZUI

not attested not anchored not stored refs pending

Faa di Bruno Hopf Algebra of the Output Feedback Group for Multivariable Fliess Operators

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

arxiv:1406.5378 v2 · 2014-06-20 · 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{IJLOM3UJOPMZPAEYM5VEI4JZUI}

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	2026-05-18T01:36:20.731962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4256e66e8973d9978098676a447139a2120b0b4c6b4d5cf5a4963788334c2b74

Aliases

arxiv: 1406.5378 · arxiv_version: 1406.5378v2 · doi: 10.48550/arxiv.1406.5378 · pith_short_12: IJLOM3UJOPMZ · pith_short_16: IJLOM3UJOPMZPAEY · pith_short_8: IJLOM3UJ

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/IJLOM3UJOPMZPAEYM5VEI4JZUI \
  | 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: 4256e66e8973d9978098676a447139a2120b0b4c6b4d5cf5a4963788334c2b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a574478a4f7810d9173478ebd9d20b3b861e3d8e72cdaa7172cc7baf0ab9a5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-06-20T13:23:39Z",
    "title_canon_sha256": "cb040b820465c6209b55ccb50fcc486f162578666bab248de23c25441d8b46eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5378",
    "kind": "arxiv",
    "version": 2
  }
}