Pith Number

pith:25LKEQZ6

pith:2016:25LKEQZ6FBNMREMEJD2VHL4KLS

not attested not anchored not stored refs pending

Geometric Hardy inequalities for the sub-elliptic Laplacian on convex domains in the Heisenberg group

Simon Larson

arxiv:1603.01379 v1 · 2016-03-04 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25LKEQZ6FBNMREMEJD2VHL4KLS}

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	2026-05-18T00:59:58.702721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d756a2433e285ac8918448f553af8a5c9eef90fb0a7c966f92a6ae7304b46fc8

Aliases

arxiv: 1603.01379 · arxiv_version: 1603.01379v1 · doi: 10.48550/arxiv.1603.01379 · pith_short_12: 25LKEQZ6FBNM · pith_short_16: 25LKEQZ6FBNMREME · pith_short_8: 25LKEQZ6

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/25LKEQZ6FBNMREMEJD2VHL4KLS \
  | 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: d756a2433e285ac8918448f553af8a5c9eef90fb0a7c966f92a6ae7304b46fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c85ca711e891ff2b710ce4beea96e2db3a9acd55ffde723ea2e11414846c42",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-04T08:46:10Z",
    "title_canon_sha256": "08f638a57238c3ad260d31d31623dc4d8e4cc98c01b90f779573bfd4525b18e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01379",
    "kind": "arxiv",
    "version": 1
  }
}