Pith Number

pith:ZOF4T6O6

pith:2013:ZOF4T6O6S5A5IRWI7372RORVKE

not attested not anchored not stored refs pending

Lyapunov-type Inequalities for Partial Differential Equations

Juan P. Pinasco, Pablo L. De N\'apoli

arxiv:1304.6988 v1 · 2013-04-25 · 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{ZOF4T6O6S5A5IRWI7372RORVKE}

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	2026-05-18T03:27:10.636342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb8bc9f9de9741d446c8feffa8ba35513dda8de833404c1959fb8193761f6e10

Aliases

arxiv: 1304.6988 · arxiv_version: 1304.6988v1 · doi: 10.48550/arxiv.1304.6988 · pith_short_12: ZOF4T6O6S5A5 · pith_short_16: ZOF4T6O6S5A5IRWI · pith_short_8: ZOF4T6O6

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/ZOF4T6O6S5A5IRWI7372RORVKE \
  | 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: cb8bc9f9de9741d446c8feffa8ba35513dda8de833404c1959fb8193761f6e10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53064fccde6bc63f1a228a78240ad261adb0927cb1e88306fb1a54ac4fce8deb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-25T19:39:03Z",
    "title_canon_sha256": "af93d0fb148d94093829bf07dde6e93c671a32c5a7b649746372a38a6c961c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6988",
    "kind": "arxiv",
    "version": 1
  }
}