Pith Number

pith:XGD7BFNG

pith:2011:XGD7BFNGSCCGCWYQZW3A7XPILB

not attested not anchored not stored refs pending

Absence of embedded eigenvalues for Riemannian Laplacians

E. Skibsted, K. Ito

arxiv:1109.1928 v1 · 2011-09-09 · math-ph · math.DG · 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{XGD7BFNGSCCGCWYQZW3A7XPILB}

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	2026-05-18T04:13:46.484355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b987f095a69084615b10cdb60fdde8585c161f5041d6a659155996a0245ece6e

Aliases

arxiv: 1109.1928 · arxiv_version: 1109.1928v1 · doi: 10.48550/arxiv.1109.1928 · pith_short_12: XGD7BFNGSCCG · pith_short_16: XGD7BFNGSCCGCWYQ · pith_short_8: XGD7BFNG

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/XGD7BFNGSCCGCWYQZW3A7XPILB \
  | 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: b987f095a69084615b10cdb60fdde8585c161f5041d6a659155996a0245ece6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57472108f2a3ab4322b7489272263f050a809d5cbfcfb363d37dfba6cf7e55fa",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-09T08:03:52Z",
    "title_canon_sha256": "bc45bb326900565c10230723c35e3f96dcc0f4210645daa9e2a0ba13be739197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1928",
    "kind": "arxiv",
    "version": 1
  }
}