Pith Number

pith:W2JRUOXN

pith:2019:W2JRUOXN5GQSATJAVG4AQFZKJ4

not attested not anchored not stored refs pending

Exact sum rules for heterogeneous spherical drums

Paolo Amore

arxiv:1907.10034 v1 · 2019-07-23 · math-ph · 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{W2JRUOXN5GQSATJAVG4AQFZKJ4}

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.

Cited by

1 paper in Pith

On the calculation of exact sum rules of rational order for quantum billiards (spectrum with a null eigenvalue)

Receipt and verification

First computed	2026-07-05T00:30:18.835868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6931a3aede9a1204d20a9b808172a4f0cba56443ca00743bf7af852486df948

Aliases

arxiv: 1907.10034 · arxiv_version: 1907.10034v1 · doi: 10.48550/arxiv.1907.10034 · pith_short_12: W2JRUOXN5GQS · pith_short_16: W2JRUOXN5GQSATJA · pith_short_8: W2JRUOXN

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/W2JRUOXN5GQSATJAVG4AQFZKJ4 \
  | 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: b6931a3aede9a1204d20a9b808172a4f0cba56443ca00743bf7af852486df948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f261df282d605e8faae90bfd2b7f34c7f616aa4d26fff2122d33f889deb096ad",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-23T17:43:35Z",
    "title_canon_sha256": "e5eafe6376a13ba0bd7910809afb8fdc44eaba0bc5b0d7159fcc5105d6dca738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10034",
    "kind": "arxiv",
    "version": 1
  }
}