Pith Number

pith:PPKZBECW

pith:2018:PPKZBECWPNIRE6IQR2AP5325E3

not attested not anchored not stored refs pending

Functions of perturbed pairs of noncommuting contractions

Aleksei Aleksandrov, Vladimir Peller

arxiv:1808.08566 v1 · 2018-08-26 · 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{PPKZBECWPNIRE6IQR2AP5325E3}

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	2026-05-18T00:07:16.048299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd59090567b511279108e80feef5d26f47f3f128f154c1a7d1036139e5047ad

Aliases

arxiv: 1808.08566 · arxiv_version: 1808.08566v1 · doi: 10.48550/arxiv.1808.08566 · pith_short_12: PPKZBECWPNIR · pith_short_16: PPKZBECWPNIRE6IQ · pith_short_8: PPKZBECW

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/PPKZBECWPNIRE6IQR2AP5325E3 \
  | 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: 7bd59090567b511279108e80feef5d26f47f3f128f154c1a7d1036139e5047ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27a8e35e6010f92e607054ad9c021ef0a305e6e05d4877b2a9d4f99234c8f707",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-26T14:51:18Z",
    "title_canon_sha256": "3202221581fadb52590c847712b522eb9382aac8b08641a4eae5e96a591103b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08566",
    "kind": "arxiv",
    "version": 1
  }
}