Pith Number

pith:EDNO7M47

pith:2014:EDNO7M475ZBTMIUKFOBGZ57N4H

not attested not anchored not stored refs pending

Functions of perturbed noncommuting self-adjoint operators

Aleksei Aleksandrov, Fedor Nazarov, Vladimir Peller

arxiv:1411.1815 v1 · 2014-11-07 · 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{EDNO7M475ZBTMIUKFOBGZ57N4H}

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	2026-05-18T02:38:25.938587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20daefb39fee4336228a2b826cf7ede1d3ad5e7e28f275daf3f42c2fb2ffcb10

Aliases

arxiv: 1411.1815 · arxiv_version: 1411.1815v1 · doi: 10.48550/arxiv.1411.1815 · pith_short_12: EDNO7M475ZBT · pith_short_16: EDNO7M475ZBTMIUK · pith_short_8: EDNO7M47

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/EDNO7M475ZBTMIUKFOBGZ57N4H \
  | 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: 20daefb39fee4336228a2b826cf7ede1d3ad5e7e28f275daf3f42c2fb2ffcb10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91bcda17345abbdc02612251af51acbfd0fc4e2bcc684e9ce1fc074db4ad140f",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-07T03:20:33Z",
    "title_canon_sha256": "0034ce5d07cc3c2195819ef53b68ac8b3cf738d0f64ca295f78cba4cd82a8c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1815",
    "kind": "arxiv",
    "version": 1
  }
}