Pith Number

pith:CX3DKBVF

pith:2012:CX3DKBVF7B6SIANZ6MTGKCHX3T

not attested not anchored not stored refs pending

Products of Toeplitz operators on the Fock space

Hon Rae Cho, Jong-Do Park, Kehe Zhu

arxiv:1212.0045 v1 · 2012-11-30 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CX3DKBVF7B6SIANZ6MTGKCHX3T}

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	2026-05-18T03:39:27.500342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15f63506a5f87d2401b9f3266508f7dcfa1ad8e21289e9091c6ec12691f5d4e8

Aliases

arxiv: 1212.0045 · arxiv_version: 1212.0045v1 · doi: 10.48550/arxiv.1212.0045 · pith_short_12: CX3DKBVF7B6S · pith_short_16: CX3DKBVF7B6SIANZ · pith_short_8: CX3DKBVF

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/CX3DKBVF7B6SIANZ6MTGKCHX3T \
  | 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: 15f63506a5f87d2401b9f3266508f7dcfa1ad8e21289e9091c6ec12691f5d4e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1955b8c4953f04a6da9fbeb5fd2c75e6f6cb1e4ee5d120fab3ed1d724f978cc",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-30T23:55:39Z",
    "title_canon_sha256": "4e3a3830babe7235357ed3a14b49c63c3619681c74b164e8e6751773b3402d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0045",
    "kind": "arxiv",
    "version": 1
  }
}