Pith Number

pith:HYHXSG2H

pith:2025:HYHXSG2HRRF6OYUNX4WUGCMXDH

not attested not anchored not stored refs pending

Backstepping Control Laws for Higher-Dimensional PDEs: Spatial Invariance and Domain Extension Methods

Rafael Vazquez

arxiv:2503.00225 v1 · 2025-02-28 · math.OC · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYHXSG2HRRF6OYUNX4WUGCMXDH}

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	2026-07-05T10:22:19.220807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e0f791b478c4be7628dbf2d43099719cac1a1f673db811072d5b9d2e598af76

Aliases

arxiv: 2503.00225 · arxiv_version: 2503.00225v1 · doi: 10.48550/arxiv.2503.00225 · pith_short_12: HYHXSG2HRRF6 · pith_short_16: HYHXSG2HRRF6OYUN · pith_short_8: HYHXSG2H

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/HYHXSG2HRRF6OYUNX4WUGCMXDH \
  | 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: 3e0f791b478c4be7628dbf2d43099719cac1a1f673db811072d5b9d2e598af76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0aeb1e28d24da1c19143c4674e7caef2f008afea65299438af036eb3f0bd1aa",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-02-28T22:23:28Z",
    "title_canon_sha256": "885b8a3c9f8c8562ce44ff5fa02a7e6a9360b39bc96fee9bc0aef29e7ca2a99f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.00225",
    "kind": "arxiv",
    "version": 1
  }
}