Pith Number

pith:FKYCMBDQ

pith:2011:FKYCMBDQKUXO3RDVYK545GSYE2

not attested not anchored not stored refs pending

The lack of compactness in the Sobolev-Strichartz inequalities

Luca Fanelli, Nicola Visciglia

arxiv:1110.6602 v1 · 2011-10-30 · 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{FKYCMBDQKUXO3RDVYK545GSYE2}

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	2026-05-18T04:09:55.104331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ab0260470552eedc475c2bbce9a5826a73273ed7a6f64dc20334970775b8111

Aliases

arxiv: 1110.6602 · arxiv_version: 1110.6602v1 · doi: 10.48550/arxiv.1110.6602 · pith_short_12: FKYCMBDQKUXO · pith_short_16: FKYCMBDQKUXO3RDV · pith_short_8: FKYCMBDQ

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/FKYCMBDQKUXO3RDVYK545GSYE2 \
  | 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: 2ab0260470552eedc475c2bbce9a5826a73273ed7a6f64dc20334970775b8111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1527bb451f0bc65077b3b408bef2a8f35cf9aff5eac73d90e049dc6774f98f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-30T12:02:00Z",
    "title_canon_sha256": "a86471a85f19c586dfd2280146eab94750507c0a21fe4476db945a4745835db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6602",
    "kind": "arxiv",
    "version": 1
  }
}