Pith Number

pith:ZATVYFES

pith:2021:ZATVYFES75AFNH5OXEMS2OYU3F

not attested not anchored not stored refs pending

Toeplitz operators on the Fock space via the Fourier transform

Dechao Zheng, Shengkun Wu

arxiv:2103.03458 v4 · 2021-03-05 · 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{ZATVYFES75AFNH5OXEMS2OYU3F}

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	2026-07-05T03:21:43.867351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8275c1492ff40569faeb9192d3b14d9662cacf14d420a3385a42bfed8c9881a

Aliases

arxiv: 2103.03458 · arxiv_version: 2103.03458v4 · doi: 10.48550/arxiv.2103.03458 · pith_short_12: ZATVYFES75AF · pith_short_16: ZATVYFES75AFNH5O · pith_short_8: ZATVYFES

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/ZATVYFES75AFNH5OXEMS2OYU3F \
  | 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: c8275c1492ff40569faeb9192d3b14d9662cacf14d420a3385a42bfed8c9881a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0db6939f549fb528fce371c47a63abb3044b74300f2f31cccb927228892cc0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-03-05T03:44:49Z",
    "title_canon_sha256": "1babbb7c1b49c5a47c8683029cdbd52d3e5c354158c8b1e632a8e97bc6597a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.03458",
    "kind": "arxiv",
    "version": 4
  }
}