Pith Number

pith:7BM2B5BK

pith:2010:7BM2B5BK5SXRMJLPNCDDT2UVNS

not attested not anchored not stored refs pending

Sums of Laplace eigenvalues --- rotations and tight frames in higher dimensions

Bartlomiej Siudeja, Richard Laugesen

arxiv:1101.0263 v1 · 2010-12-31 · 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{7BM2B5BK5SXRMJLPNCDDT2UVNS}

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	2026-05-18T02:04:16.192092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f859a0f42aecaf16256f688639ea956c85af64b44e56ebf002d6da903d9dd1d5

Aliases

arxiv: 1101.0263 · arxiv_version: 1101.0263v1 · doi: 10.48550/arxiv.1101.0263 · pith_short_12: 7BM2B5BK5SXR · pith_short_16: 7BM2B5BK5SXRMJLP · pith_short_8: 7BM2B5BK

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/7BM2B5BK5SXRMJLPNCDDT2UVNS \
  | 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: f859a0f42aecaf16256f688639ea956c85af64b44e56ebf002d6da903d9dd1d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87969ec826eda5cda05b5deb84eb84b2d42e04bf184a95e1996cd496416ee9d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-12-31T14:34:54Z",
    "title_canon_sha256": "bd58a2e436b9eda12f1de2dd8ccdd1d187ee6e753b6ca1484e30b8ccad255a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0263",
    "kind": "arxiv",
    "version": 1
  }
}