Pith Number

pith:4DGKCNR3

pith:2014:4DGKCNR3IFDC5CRKYD4DOGVCQC

not attested not anchored not stored refs pending

On Liouville-type theorems and the uniqueness of the positive Cauchy problem for a class of hypoelliptic operators

Alessia E. Kogoj, S. Polidoro, Y. Pinchover

arxiv:1404.0288 v3 · 2014-04-01 · math.FA · 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{4DGKCNR3IFDC5CRKYD4DOGVCQC}

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	2026-05-18T01:26:58.443794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0cca1363b41462e8a2ac0f8371aa2809474bda4315518f8400ed2e95892d777

Aliases

arxiv: 1404.0288 · arxiv_version: 1404.0288v3 · doi: 10.48550/arxiv.1404.0288 · pith_short_12: 4DGKCNR3IFDC · pith_short_16: 4DGKCNR3IFDC5CRK · pith_short_8: 4DGKCNR3

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/4DGKCNR3IFDC5CRKYD4DOGVCQC \
  | 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: e0cca1363b41462e8a2ac0f8371aa2809474bda4315518f8400ed2e95892d777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af285340a9c000f19accd64ba759d01d9443669d491068a337af0d1cbee7ba9f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-01T15:56:47Z",
    "title_canon_sha256": "360012187eade1519a3db67883d6330a9f641bbfbf0a4ea5eaa879ee89f73de3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0288",
    "kind": "arxiv",
    "version": 3
  }
}