Pith Number

pith:B5VURONV

pith:2018:B5VURONVJDLUNDOAZNADUCV63R

not attested not anchored not stored refs pending

Null controllability for a degenerate population model in divergence form via Carleman estimates

G. Fragnelli

arxiv:1812.11416 v4 · 2018-12-29 · 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{B5VURONVJDLUNDOAZNADUCV63R}

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.

Cited by

1 paper in Pith

Controllability for a degenerate cascade system

Receipt and verification

First computed	2026-05-17T23:48:31.056527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f6b48b9b548d7468dc0cb403a0abedc46a43d54795ef1108505b70da964e99f

Aliases

arxiv: 1812.11416 · arxiv_version: 1812.11416v4 · doi: 10.48550/arxiv.1812.11416 · pith_short_12: B5VURONVJDLU · pith_short_16: B5VURONVJDLUNDOA · pith_short_8: B5VURONV

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/B5VURONVJDLUNDOAZNADUCV63R \
  | 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: 0f6b48b9b548d7468dc0cb403a0abedc46a43d54795ef1108505b70da964e99f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a1023f5cca96882c2cad5b07fac07495f6f196b8193dcb558b512e06d9b0e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-29T18:11:36Z",
    "title_canon_sha256": "98719f887ffd424435661a71d223a46de1d630240dc52a5a08802ec0818ef4d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11416",
    "kind": "arxiv",
    "version": 4
  }
}