Pith Number

pith:EA6C7BVP

pith:2014:EA6C7BVPSUP3KK5ZO4G4XZWNKI

not attested not anchored not stored refs pending

Qualitative properties of solutions for an integral system related to the Hardy-Sobolev inequality

John Villavert

arxiv:1406.5168 v2 · 2014-06-19 · 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{EA6C7BVPSUP3KK5ZO4G4XZWNKI}

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	2026-05-18T02:30:15.520530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

203c2f86af951fb52bb9770dcbe6cd522dd043e10b49c2dc1ac52c6a17fe3264

Aliases

arxiv: 1406.5168 · arxiv_version: 1406.5168v2 · doi: 10.48550/arxiv.1406.5168 · pith_short_12: EA6C7BVPSUP3 · pith_short_16: EA6C7BVPSUP3KK5Z · pith_short_8: EA6C7BVP

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/EA6C7BVPSUP3KK5ZO4G4XZWNKI \
  | 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: 203c2f86af951fb52bb9770dcbe6cd522dd043e10b49c2dc1ac52c6a17fe3264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f479ded92055771ba04ef00b1fb219702388469fcb089938cf2bf37bfc16bfd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-06-19T19:51:33Z",
    "title_canon_sha256": "687ba55ac9c9a5b07aed0b1aea3a8a0dae912e746b32e1936c97050dd42e0803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5168",
    "kind": "arxiv",
    "version": 2
  }
}