Pith Number

pith:LISUH4QC

pith:2014:LISUH4QC746EDLYDCEE3YI66T2

not attested not anchored not stored refs pending

Null controllability of one-dimensional parabolic equations by the flatness approach

Lionel Rosier (CAS), Philippe Martin (CAS), Pierre Rouchon (CAS)

arxiv:1410.2588 v2 · 2014-10-09 · 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{LISUH4QC746EDLYDCEE3YI66T2}

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	2026-05-18T01:34:13.315006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2543f202ff3c41af031109bc23de9e8bdcea5cc7277fc3e5e3ade1189c2faf

Aliases

arxiv: 1410.2588 · arxiv_version: 1410.2588v2 · doi: 10.48550/arxiv.1410.2588 · pith_short_12: LISUH4QC746E · pith_short_16: LISUH4QC746EDLYD · pith_short_8: LISUH4QC

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/LISUH4QC746EDLYDCEE3YI66T2 \
  | 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: 5a2543f202ff3c41af031109bc23de9e8bdcea5cc7277fc3e5e3ade1189c2faf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04c122d3745eeea041b00105f8e178a8825d96098eddd771b89f3a44f0c27430",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-09T19:28:31Z",
    "title_canon_sha256": "477fd48ccf807aa2c8fd489ffafcd38162209b45f091f2074390f97a08c9af64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2588",
    "kind": "arxiv",
    "version": 2
  }
}