Pith Number

pith:LHMC64YH

pith:2024:LHMC64YHA5BC4CXZ4VVCR4KQQ5

not attested not anchored not stored refs pending

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity

Edward A. McDonald, Eva-Maria Hekkelman

arxiv:2412.00628 v2 · 2024-12-01 · math.OA · math.FA · 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{LHMC64YHA5BC4CXZ4VVCR4KQQ5}

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	2026-07-05T11:46:37.546626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d82f730707422e0af9e56a28f150874d10d40cd8ed0fecdf59ef8348fe30ba

Aliases

arxiv: 2412.00628 · arxiv_version: 2412.00628v2 · doi: 10.48550/arxiv.2412.00628 · pith_short_12: LHMC64YHA5BC · pith_short_16: LHMC64YHA5BC4CXZ · pith_short_8: LHMC64YH

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/LHMC64YHA5BC4CXZ4VVCR4KQQ5 \
  | 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: 59d82f730707422e0af9e56a28f150874d10d40cd8ed0fecdf59ef8348fe30ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e047aa194b6a9f3ef6176b4c7be01553a4f81c549cf04608ddc59ad00f62c2a",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-12-01T00:55:50Z",
    "title_canon_sha256": "484de3578c9f347188dc6f1449e7566d276ff09037d97f94d41392a94ce8df92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00628",
    "kind": "arxiv",
    "version": 2
  }
}