Pith Number

pith:3YPERZ6Q

pith:2014:3YPERZ6QNWQ6ILPX2Q6MKLZ5MY

not attested not anchored not stored refs pending

Almost commuting functions of almost commuting self-adjoint operators

Aleksei Aleksandrov, Vladimir Peller

arxiv:1412.3535 v1 · 2014-12-11 · math.FA · math.CA · math.CV · 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{3YPERZ6QNWQ6ILPX2Q6MKLZ5MY}

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	2026-05-18T02:31:30.873297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de1e48e7d06da1e42df7d43cc52f3d6612de64b8aebea4a46fefc70ae00e9425

Aliases

arxiv: 1412.3535 · arxiv_version: 1412.3535v1 · doi: 10.48550/arxiv.1412.3535 · pith_short_12: 3YPERZ6QNWQ6 · pith_short_16: 3YPERZ6QNWQ6ILPX · pith_short_8: 3YPERZ6Q

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/3YPERZ6QNWQ6ILPX2Q6MKLZ5MY \
  | 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: de1e48e7d06da1e42df7d43cc52f3d6612de64b8aebea4a46fefc70ae00e9425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c5702292560150a3654a4962b0c0244a3dfd2bfb7c024cb88d6e8457684209b",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-11T04:29:57Z",
    "title_canon_sha256": "9a6a5983f33317eed1435f7409e58e06b6a23fc1e3ef9d22504b3df6ce416ac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3535",
    "kind": "arxiv",
    "version": 1
  }
}