Pith Number

pith:G7SQTLGG

pith:2016:G7SQTLGGE4G3IYPYO7PEDNNI4Y

not attested not anchored not stored refs pending

Some trace Hardy type inequalities and trace Hardy-Sobolev-Maz'ya type inequalities

Van Hoang Nguyen

arxiv:1603.07792 v1 · 2016-03-25 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7SQTLGGE4G3IYPYO7PEDNNI4Y}

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	2026-05-18T01:18:17.832203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37e509acc6270db461f877de41b5a8e61471047e46263dc27c4388537d940e01

Aliases

arxiv: 1603.07792 · arxiv_version: 1603.07792v1 · doi: 10.48550/arxiv.1603.07792 · pith_short_12: G7SQTLGGE4G3 · pith_short_16: G7SQTLGGE4G3IYPY · pith_short_8: G7SQTLGG

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/G7SQTLGGE4G3IYPYO7PEDNNI4Y \
  | 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: 37e509acc6270db461f877de41b5a8e61471047e46263dc27c4388537d940e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ce5ab6814afc14d9097d70fc52ca06943c01e6bc11e380a9c64a40360cec664",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-25T00:53:33Z",
    "title_canon_sha256": "ac0250f347255d299967fabd08cd3d3cab5f6edd2a71cc7696578a8f0bf71b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07792",
    "kind": "arxiv",
    "version": 1
  }
}