Pith Number

pith:6JAVMY6N

pith:2019:6JAVMY6NFZLK3CWU5LMHG2WQSK

not attested not anchored not stored refs pending

The fundamental solution of a class of ultra-hyperbolic operators on Pseudo $H$-type groups

Andr\'e Froehly, Irina Markina, Wolfram Bauer

arxiv:1901.08318 v1 · 2019-01-24 · math.AP · 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{6JAVMY6NFZLK3CWU5LMHG2WQSK}

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	2026-05-17T23:55:37.364163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2415663cd2e56ad8ad4ead8736ad092bcf60340c1d638f6b36c4ca0f03db683

Aliases

arxiv: 1901.08318 · arxiv_version: 1901.08318v1 · doi: 10.48550/arxiv.1901.08318 · pith_short_12: 6JAVMY6NFZLK · pith_short_16: 6JAVMY6NFZLK3CWU · pith_short_8: 6JAVMY6N

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/6JAVMY6NFZLK3CWU5LMHG2WQSK \
  | 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: f2415663cd2e56ad8ad4ead8736ad092bcf60340c1d638f6b36c4ca0f03db683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6a4ce7be9186b65d8f4a2edab284991326d244a343e72a45a72ee95da2aa89d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-24T10:02:31Z",
    "title_canon_sha256": "e32f7e23d4eed22e6bf236f8edd45ac08e565f549a4381203a73ec673b51e183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08318",
    "kind": "arxiv",
    "version": 1
  }
}