Pith Number

pith:QZ4BVKSH

pith:2021:QZ4BVKSHRSGTZWPKDNXTX6PROO

not attested not anchored not stored refs pending

Sectoriality of the Laplacian on Asymptotically Hyperbolic Spaces

Christine Guenther, Eric Bahuaud, James Isenberg

arxiv:2109.00096 v2 · 2021-08-31 · 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{QZ4BVKSHRSGTZWPKDNXTX6PROO}

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	2026-07-05T06:02:26.893807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86781aaa478c8d3cd9ea1b6f3bf9f17383f0cca952e04d93f46f6dd74bd79d87

Aliases

arxiv: 2109.00096 · arxiv_version: 2109.00096v2 · doi: 10.48550/arxiv.2109.00096 · pith_short_12: QZ4BVKSHRSGT · pith_short_16: QZ4BVKSHRSGTZWPK · pith_short_8: QZ4BVKSH

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/QZ4BVKSHRSGTZWPKDNXTX6PROO \
  | 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: 86781aaa478c8d3cd9ea1b6f3bf9f17383f0cca952e04d93f46f6dd74bd79d87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c81a404268d456aa24e7faeb2274f1219e77cce538784a5554e9c50eab035b6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-08-31T22:20:41Z",
    "title_canon_sha256": "4a29fd4ed71a95b2666d9b84cadaf7d680a1c5e311e4c66a05c0851ac3586cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.00096",
    "kind": "arxiv",
    "version": 2
  }
}