Pith Number

pith:GLZ22RQ2

pith:2013:GLZ22RQ2QOWMBG2376YA44V6PR

not attested not anchored not stored refs pending

Null controllability of the 1D heat equation using flatness

Lionel Rosier, Philippe Martin, Pierre Rouchon

arxiv:1303.2344 v1 · 2013-03-10 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLZ22RQ2QOWMBG2376YA44V6PR}

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	2026-05-18T03:31:19.285747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f3ad461a83acc09b5bffb00e72be7c7984385f017c8fe57b65517b8bd67c1f

Aliases

arxiv: 1303.2344 · arxiv_version: 1303.2344v1 · doi: 10.48550/arxiv.1303.2344 · pith_short_12: GLZ22RQ2QOWM · pith_short_16: GLZ22RQ2QOWMBG23 · pith_short_8: GLZ22RQ2

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/GLZ22RQ2QOWMBG2376YA44V6PR \
  | 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: 32f3ad461a83acc09b5bffb00e72be7c7984385f017c8fe57b65517b8bd67c1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c35573e3c311da6b90f9b87cfc756468b955316d3adddfbc51e60246d0f8de50",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-03-10T17:19:13Z",
    "title_canon_sha256": "f223f1ba7a02db14bcbf69a4d540810a974b8b63a65f3ebdc7f55ff68d34d8db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2344",
    "kind": "arxiv",
    "version": 1
  }
}