Pith Number

pith:KRJUE22J

pith:2015:KRJUE22JG6ENYSTQLSEMZCF5MJ

not attested not anchored not stored refs pending

On Kac's principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group

Durvudkhan Suragan, Michael Ruzhansky

arxiv:1503.09124 v1 · 2015-03-31 · math.AP · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRJUE22JG6ENYSTQLSEMZCF5MJ}

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	2026-05-18T01:24:05.215711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5453426b493788dc4a705c88cc88bd6245133cdca500bc27194d439bf2238d0d

Aliases

arxiv: 1503.09124 · arxiv_version: 1503.09124v1 · doi: 10.48550/arxiv.1503.09124 · pith_short_12: KRJUE22JG6EN · pith_short_16: KRJUE22JG6ENYSTQ · pith_short_8: KRJUE22J

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/KRJUE22JG6ENYSTQLSEMZCF5MJ \
  | 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: 5453426b493788dc4a705c88cc88bd6245133cdca500bc27194d439bf2238d0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "668e13e3b1fe2b7291313ec7513c1e59aa0c586bd9ece69dac1dfe0449025573",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-31T16:56:29Z",
    "title_canon_sha256": "eb34feefa435cbcc9cca272a092c5e7764442dbef10abe5dfd6fb6d0a45d3f7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.09124",
    "kind": "arxiv",
    "version": 1
  }
}