Pith Number

pith:3LAG4TES

pith:2018:3LAG4TES2FNGMTXMHZEHFNCNV5

not attested not anchored not stored refs pending

Algebras of Toeplitz operators on the $n$-dimensional unit ball

Nikolai Vasilevski, Raffael Hagger, Wolfram Bauer

arxiv:1808.10372 v1 · 2018-08-30 · math.OA · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LAG4TES2FNGMTXMHZEHFNCNV5}

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	2026-05-18T00:06:48.986451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac06e4c92d15a664eec3e4872b44daf74b97141350bac2f162263b527dbf9ba

Aliases

arxiv: 1808.10372 · arxiv_version: 1808.10372v1 · doi: 10.48550/arxiv.1808.10372 · pith_short_12: 3LAG4TES2FNG · pith_short_16: 3LAG4TES2FNGMTXM · pith_short_8: 3LAG4TES

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/3LAG4TES2FNGMTXMHZEHFNCNV5 \
  | 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: dac06e4c92d15a664eec3e4872b44daf74b97141350bac2f162263b527dbf9ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49e35885fa7f3bd41682e7c5736dd886cc72a483d1bd35eb73579aef5667236c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-08-30T16:00:25Z",
    "title_canon_sha256": "15ed846e57b4d61e5878295700136613aee8c6713d9187d51ae86e6a3919c614"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10372",
    "kind": "arxiv",
    "version": 1
  }
}