Pith Number

pith:QXNXNXLP

pith:2018:QXNXNXLPNUVQAS5DXGWLH37VHE

not attested not anchored not stored refs pending

Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields

Alexandre Arias Junior, Alexandre Kirilov, Cleber de Medeira

arxiv:1810.01906 v1 · 2018-10-03 · 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{QXNXNXLPNUVQAS5DXGWLH37VHE}

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	2026-05-17T23:53:02.693656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85db76dd6f6d2b004ba3b9acb3eff53904567a1c99037db49ea624e12bc38f83

Aliases

arxiv: 1810.01906 · arxiv_version: 1810.01906v1 · doi: 10.48550/arxiv.1810.01906 · pith_short_12: QXNXNXLPNUVQ · pith_short_16: QXNXNXLPNUVQAS5D · pith_short_8: QXNXNXLP

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/QXNXNXLPNUVQAS5DXGWLH37VHE \
  | 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: 85db76dd6f6d2b004ba3b9acb3eff53904567a1c99037db49ea624e12bc38f83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8d3a6081662256476822550900897fb1d2966e01d3c74f08a99eb81abbfd2bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-03T18:35:52Z",
    "title_canon_sha256": "b773abc6c99d473daa128678ba2256b995633640b0a42b0c245e7532a1d63915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01906",
    "kind": "arxiv",
    "version": 1
  }
}