Pith Number

pith:WM7QFTD3

pith:2017:WM7QFTD3OEFRM4HDSD2ZFDGQGG

not attested not anchored not stored refs pending

Indirect controllability of some linear parabolic systems of m equations with m-1 controls involving coupling terms of zero or first order

Michel Duprez, Pierre Lissy

arxiv:1701.05555 v1 · 2017-01-19 · 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{WM7QFTD3OEFRM4HDSD2ZFDGQGG}

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	2026-05-18T00:52:29.150683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b33f02cc7b710b1670e390f5928cd031bd2a1c6f7d63b3bebf80f728b8722386

Aliases

arxiv: 1701.05555 · arxiv_version: 1701.05555v1 · doi: 10.48550/arxiv.1701.05555 · pith_short_12: WM7QFTD3OEFR · pith_short_16: WM7QFTD3OEFRM4HD · pith_short_8: WM7QFTD3

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/WM7QFTD3OEFRM4HDSD2ZFDGQGG \
  | 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: b33f02cc7b710b1670e390f5928cd031bd2a1c6f7d63b3bebf80f728b8722386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d299e6771430f7905a793c06e1c130b23ea56e78d59ef08674bd8113dfcb3f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-19T06:51:40Z",
    "title_canon_sha256": "ecff343f8ff9932f0fb5edfb1937481181628e231b1af36351b7cafff661993b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05555",
    "kind": "arxiv",
    "version": 1
  }
}