Pith Number

pith:XHD3RK7D

pith:2012:XHD3RK7DCFD73RZZKDFSO2TVG2

not attested not anchored not stored refs pending

Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains

Antoine Lemenant, Emmanouil Milakis, Laura V. Spinolo

arxiv:1209.3581 v1 · 2012-09-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHD3RK7DCFD73RZZKDFSO2TVG2}

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	2026-05-18T03:45:30.559214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9c7b8abe31147fdc73950cb276a753689af4151adcf7d9449adfe3b5f49d2e4

Aliases

arxiv: 1209.3581 · arxiv_version: 1209.3581v1 · doi: 10.48550/arxiv.1209.3581 · pith_short_12: XHD3RK7DCFD7 · pith_short_16: XHD3RK7DCFD73RZZ · pith_short_8: XHD3RK7D

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/XHD3RK7DCFD73RZZKDFSO2TVG2 \
  | 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: b9c7b8abe31147fdc73950cb276a753689af4151adcf7d9449adfe3b5f49d2e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e06defb6f0a16ce7c2bd6bc0d64db1b710d9d56b916dd89b03bf57f3bf89b666",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-17T08:31:20Z",
    "title_canon_sha256": "8dcba9cc6fc40e8ac502b6861c83232fda979221fcc88e8aeb0fd39e74c2dc85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3581",
    "kind": "arxiv",
    "version": 1
  }
}