Pith. sign in
Pith Number

pith:AZDR4AW7

pith:2020:AZDR4AW7DQ7EO255JOYYUKAGPV
not attested not anchored not stored refs pending

On the necessity of the constant rank condition for $L^p$ estimates

Andr\'e Guerra, Bogdan Rai\c{t}\u{a}

arxiv:2007.00484 v1 · 2020-07-01 · math.CA · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AZDR4AW7DQ7EO255JOYYUKAGPV}

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

Receipt and verification
First computed 2026-07-05T02:18:05.124535Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

06471e02df1c3e476bbd4bb18a28067d6bf4948d44470c6b54f37caa4d4f8a8e

Aliases

arxiv: 2007.00484 · arxiv_version: 2007.00484v1 · doi: 10.48550/arxiv.2007.00484 · pith_short_12: AZDR4AW7DQ7E · pith_short_16: AZDR4AW7DQ7EO255 · pith_short_8: AZDR4AW7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AZDR4AW7DQ7EO255JOYYUKAGPV \
  | 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: 06471e02df1c3e476bbd4bb18a28067d6bf4948d44470c6b54f37caa4d4f8a8e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ff087f3d4d4eb9b8cb64435c42077a127a2f098d4bed29df1a32f376a2ae84fb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2020-07-01T13:40:12Z",
    "title_canon_sha256": "7e639a88f6c6ced4ffa047ddde20a10ce490634d359629da3fec478a9c0ddb91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.00484",
    "kind": "arxiv",
    "version": 1
  }
}