Pith Number

pith:QVDZHGLR

pith:2015:QVDZHGLR4MAA6YY6AF6D7GNEXO

not attested not anchored not stored refs pending

Zero and negative eigenvalues of the conformal Laplacian

A. Rod Gover, Asma Hassannezhad, Dmitry Jakobson, Michael Levitin

arxiv:1511.08524 v2 · 2015-11-26 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVDZHGLR4MAA6YY6AF6D7GNEXO}

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	2026-05-18T01:16:09.469089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8547939971e3000f631e017c3f99a4bba706db53f0bcfa32c28e5273024cb554

Aliases

arxiv: 1511.08524 · arxiv_version: 1511.08524v2 · doi: 10.48550/arxiv.1511.08524 · pith_short_12: QVDZHGLR4MAA · pith_short_16: QVDZHGLR4MAA6YY6 · pith_short_8: QVDZHGLR

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/QVDZHGLR4MAA6YY6AF6D7GNEXO \
  | 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: 8547939971e3000f631e017c3f99a4bba706db53f0bcfa32c28e5273024cb554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177a964f7f3307d906fd9c56180d02f8f1c0f2bf3ae11bf5f9df35eb03071ee5",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-26T22:41:01Z",
    "title_canon_sha256": "70bc0aee4ed5642f0f78583f79b1cebf9e8e6109eaedb696487daf6e0a55cf6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08524",
    "kind": "arxiv",
    "version": 2
  }
}