Pith Number

pith:AQPV3C2V

pith:2018:AQPV3C2VZOC5J3IMG3GDQQVUSQ

not attested not anchored not stored refs pending

Very degenerate elliptic equations under almost critical Sobolev regularity

Albert Clop, Antonia Passarelli di Napoli, Farhad Hatami, Raffaella Giova

arxiv:1803.08723 v2 · 2018-03-23 · 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{AQPV3C2VZOC5J3IMG3GDQQVUSQ}

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	2026-05-17T23:44:04.729255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

041f5d8b55cb85d4ed0c36cc3842b49438f5343a3f00fd5c2b562cd94ffc7e34

Aliases

arxiv: 1803.08723 · arxiv_version: 1803.08723v2 · doi: 10.48550/arxiv.1803.08723 · pith_short_12: AQPV3C2VZOC5 · pith_short_16: AQPV3C2VZOC5J3IM · pith_short_8: AQPV3C2V

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/AQPV3C2VZOC5J3IMG3GDQQVUSQ \
  | 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: 041f5d8b55cb85d4ed0c36cc3842b49438f5343a3f00fd5c2b562cd94ffc7e34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1f3be057fae0f18ffdc130b721dd23faab55d02d17b0a756af16bb258f1eae4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-23T10:38:26Z",
    "title_canon_sha256": "4ec0ed3294c1b5de452bb24093f9767eb7e8e83d5de3be002fa6f98c8ecc98cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08723",
    "kind": "arxiv",
    "version": 2
  }
}