Pith Number

pith:MFTLYM7J

pith:2016:MFTLYM7JFCJKTE2ELPFK7E7YM4

not attested not anchored not stored refs pending

Carleman estimates and null controllability for a degenerate population model

Genni Fragnelli

arxiv:1611.06024 v5 · 2016-11-18 · 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{MFTLYM7JFCJKTE2ELPFK7E7YM4}

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	2026-05-17T23:55:43.378707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6166bc33e92892a993445bcaaf93f867241b34e3283fc76d86ab1de41c6fbfd9

Aliases

arxiv: 1611.06024 · arxiv_version: 1611.06024v5 · doi: 10.48550/arxiv.1611.06024 · pith_short_12: MFTLYM7JFCJK · pith_short_16: MFTLYM7JFCJKTE2E · pith_short_8: MFTLYM7J

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/MFTLYM7JFCJKTE2ELPFK7E7YM4 \
  | 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: 6166bc33e92892a993445bcaaf93f867241b34e3283fc76d86ab1de41c6fbfd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cecc3d11f743dca5a11120df0575b9dad785aee57b0edcc99675cf3ad551d469",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-18T09:59:05Z",
    "title_canon_sha256": "c8ce75e4f8c6c388f3643d82895e69ddd828fd84bf300815b31360c2832553f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06024",
    "kind": "arxiv",
    "version": 5
  }
}