Pith Number

pith:XR75ZD7E

pith:2016:XR75ZD7ET2SNDZCU4UBUR477M6

not attested not anchored not stored refs pending

The First Eigenvalue of the Kohn-Laplace Operator in the Heisenberg Group

Akram Makni, Najoua Gamara

arxiv:1603.02295 v1 · 2016-03-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XR75ZD7ET2SNDZCU4UBUR477M6}

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	2026-05-18T01:19:23.818209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc7fdc8fe49ea4d1e454e50348f3ff678f29a2a864b78ba738834f1074f6922f

Aliases

arxiv: 1603.02295 · arxiv_version: 1603.02295v1 · doi: 10.48550/arxiv.1603.02295 · pith_short_12: XR75ZD7ET2SN · pith_short_16: XR75ZD7ET2SNDZCU · pith_short_8: XR75ZD7E

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/XR75ZD7ET2SNDZCU4UBUR477M6 \
  | 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: bc7fdc8fe49ea4d1e454e50348f3ff678f29a2a864b78ba738834f1074f6922f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315b0316d0283dbef29d788cbe613442b4199bc9bff676e1739c743cf61ada28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-07T21:10:41Z",
    "title_canon_sha256": "479dc655a781325f56e3a7f8c0edb2b10c74b807e9af3be74a36c61a5969da9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02295",
    "kind": "arxiv",
    "version": 1
  }
}