Pith Number

pith:MHRXFZEE

pith:2015:MHRXFZEE6QDCBDMRO4T7E3WDDI

not attested not anchored not stored refs pending

Functions of almost commuting operators and an extension of the Helton-Howe trace formula

Alexei Aleksandrov, Vladimir Peller

arxiv:1508.04702 v1 · 2015-08-19 · 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{MHRXFZEE6QDCBDMRO4T7E3WDDI}

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	2026-05-18T01:35:02.049936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61e372e484f406208d917727f26ec31a2b41f63c8674cef8e73ff7de6a5a74bf

Aliases

arxiv: 1508.04702 · arxiv_version: 1508.04702v1 · doi: 10.48550/arxiv.1508.04702 · pith_short_12: MHRXFZEE6QDC · pith_short_16: MHRXFZEE6QDCBDMR · pith_short_8: MHRXFZEE

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/MHRXFZEE6QDCBDMRO4T7E3WDDI \
  | 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: 61e372e484f406208d917727f26ec31a2b41f63c8674cef8e73ff7de6a5a74bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a310c6b2ada39a48df550a099f1c9cda879db6ffb78ed0532a8116d6d396a03f",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-19T16:44:42Z",
    "title_canon_sha256": "d691fd35816bfb56aa534d36f5fc227f470c8f018fbd9f262c5fa10b5179de4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04702",
    "kind": "arxiv",
    "version": 1
  }
}