Pith Number

pith:LVS3QT5Z

pith:2011:LVS3QT5ZXSISNIEBUN2VNERXE2

not attested not anchored not stored refs pending

Controllability properties for the one-dimensional Heat equation under multiplicative or nonnegative additive controls with local mobile support

Alexander Y. Khapalov, Luis A. Fernandez

arxiv:1102.3867 v1 · 2011-02-18 · math.OC · cs.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{LVS3QT5ZXSISNIEBUN2VNERXE2}

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	2026-05-18T04:28:20.725717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d65b84fb9bc9126a081a3755692372695c9c7d3cfe9575b97d7de9ef0b7991d

Aliases

arxiv: 1102.3867 · arxiv_version: 1102.3867v1 · doi: 10.48550/arxiv.1102.3867 · pith_short_12: LVS3QT5ZXSIS · pith_short_16: LVS3QT5ZXSISNIEB · pith_short_8: LVS3QT5Z

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/LVS3QT5ZXSISNIEBUN2VNERXE2 \
  | 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: 5d65b84fb9bc9126a081a3755692372695c9c7d3cfe9575b97d7de9ef0b7991d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccdafc92801a16581f15356ea21bbae933a617b7f94e4e15ed173bf339187b97",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-02-18T16:30:37Z",
    "title_canon_sha256": "bca6ac23fb34abb41a0ee2889d97fcf577305132abb94471937d3f6cbc93df42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3867",
    "kind": "arxiv",
    "version": 1
  }
}