Pith Number

pith:WKRA3SU5

pith:2018:WKRA3SU5VMDZCCU47MKF6JKVW2

not attested not anchored not stored refs pending

Exact Controllability of Nonlinear Heat Equations in Spaces of Analytic Functions

Camille Laurent (CNRS, CAOR), Lionel Rosier (CAS, LJLL)

arxiv:1812.06637 v1 · 2018-12-17 · 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{WKRA3SU5VMDZCCU47MKF6JKVW2}

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	2026-05-17T23:58:09.675632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2a20dca9dab07910a9cfb145f2555b6b63e3b868904c42875241ac467fd48b1

Aliases

arxiv: 1812.06637 · arxiv_version: 1812.06637v1 · doi: 10.48550/arxiv.1812.06637 · pith_short_12: WKRA3SU5VMDZ · pith_short_16: WKRA3SU5VMDZCCU4 · pith_short_8: WKRA3SU5

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/WKRA3SU5VMDZCCU47MKF6JKVW2 \
  | 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: b2a20dca9dab07910a9cfb145f2555b6b63e3b868904c42875241ac467fd48b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c98272cd328b1de10f369bb8538390fd6a69a7332ef95943472676cd5b54d315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-17T07:51:05Z",
    "title_canon_sha256": "0459a923f9e81a84e1ee8aafa672ba1050258a1dc739d5be590cdca797444148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06637",
    "kind": "arxiv",
    "version": 1
  }
}