Pith Number

pith:E2WAW4FJ

pith:2010:E2WAW4FJB7WQQATEUUO7B56KTW

not attested not anchored not stored refs pending

Minimal modified energy control for fractional linear control systems with the Caputo derivative

Delfim F. M. Torres, Dorota Mozyrska

arxiv:1004.3113 v1 · 2010-04-19 · 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{E2WAW4FJB7WQQATEUUO7B56KTW}

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	2026-05-18T04:40:57.109979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ac0b70a90fed080264a51df0f7ca9d817524aadba56c2cc23e9ffa30e96c3d

Aliases

arxiv: 1004.3113 · arxiv_version: 1004.3113v1 · doi: 10.48550/arxiv.1004.3113 · pith_short_12: E2WAW4FJB7WQ · pith_short_16: E2WAW4FJB7WQQATE · pith_short_8: E2WAW4FJ

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/E2WAW4FJB7WQQATEUUO7B56KTW \
  | 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: 26ac0b70a90fed080264a51df0f7ca9d817524aadba56c2cc23e9ffa30e96c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f78897c583aaec61ef6747f8fbf8cac01a5eced2bef8166ab5921a08896c99f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-04-19T07:33:15Z",
    "title_canon_sha256": "0fadc4e693c23d06e1c3b13c2edacceb9ef7235e779024eb1e9936e9137d0326"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3113",
    "kind": "arxiv",
    "version": 1
  }
}