Pith Number

pith:YL3AP3IV

pith:2003:YL3AP3IVBMWGPJEK5MIXFE5WVB

not attested not anchored not stored refs pending

Characterization of gradient control systems

Arjan van der Schaft, Jorge Cortes, Peter E. Crouch

arxiv:math/0303371 v1 · 2003-03-29 · math.OC · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YL3AP3IVBMWGPJEK5MIXFE5WVB}

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	2026-07-04T14:37:10.957114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f607ed150b2c67a48aeb117293b6a866401cf8cb1e2b10fb0bd0e17a1edf8e

Aliases

arxiv: math/0303371 · arxiv_version: math/0303371v1 · doi: 10.48550/arxiv.math/0303371 · pith_short_12: YL3AP3IVBMWG · pith_short_16: YL3AP3IVBMWGPJEK · pith_short_8: YL3AP3IV

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/YL3AP3IVBMWGPJEK5MIXFE5WVB \
  | 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: c2f607ed150b2c67a48aeb117293b6a866401cf8cb1e2b10fb0bd0e17a1edf8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff3f9cfde61f120f4d43ba2f2a327d9394ab1b731909cd84a72bf7dfd5ce0b06",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2003-03-29T02:32:57Z",
    "title_canon_sha256": "711f7657aa30ba981453b6e5d385efabb650aef582a6052000295c2495144000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303371",
    "kind": "arxiv",
    "version": 1
  }
}