Pith Number

pith:X7SOG6SQ

pith:2016:X7SOG6SQUMRDA5FYTWNOT7ZVH2

not attested not anchored not stored refs pending

Hardy Inequalities for the Heisenberg Laplacian on convex bounded polytopes

Bartosch Ruszkowski

arxiv:1606.04252 v1 · 2016-06-14 · 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{X7SOG6SQUMRDA5FYTWNOT7ZVH2}

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	2026-05-18T01:12:25.875059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe4e37a50a3223074b89d9ae9ff353ebdf7ebd623eb0ceea8a433b9d22cfea2

Aliases

arxiv: 1606.04252 · arxiv_version: 1606.04252v1 · doi: 10.48550/arxiv.1606.04252 · pith_short_12: X7SOG6SQUMRD · pith_short_16: X7SOG6SQUMRDA5FY · pith_short_8: X7SOG6SQ

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/X7SOG6SQUMRDA5FYTWNOT7ZVH2 \
  | 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: bfe4e37a50a3223074b89d9ae9ff353ebdf7ebd623eb0ceea8a433b9d22cfea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e1f1aa4f5034f1bbad8e3405043c7e40fa6a66d458ea18cceca3b304d1096f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-14T08:45:10Z",
    "title_canon_sha256": "62c56136311d124f888333faa7f70bbaa37ef697f8551c99df103d1330985a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04252",
    "kind": "arxiv",
    "version": 1
  }
}