Pith Number

pith:PCWRZHCB

pith:2026:PCWRZHCBYDTGJS7BXFQQ4MKH2O

not attested not anchored not stored refs pending

Toeplitz Operators on Quaternionic Fock Spaces

Chao Zu, Yufeng Lu, Zhaopeng Lin

arxiv:2601.10162 v3 · 2026-01-15 · 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{PCWRZHCBYDTGJS7BXFQQ4MKH2O}

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	2026-06-05T01:15:18.989547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78ad1c9c41c0e664cbe1b9610e3147d3a0973bde3f4483db141a78b48485bc93

Aliases

arxiv: 2601.10162 · arxiv_version: 2601.10162v3 · doi: 10.48550/arxiv.2601.10162 · pith_short_12: PCWRZHCBYDTG · pith_short_16: PCWRZHCBYDTGJS7B · pith_short_8: PCWRZHCB

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/PCWRZHCBYDTGJS7BXFQQ4MKH2O \
  | 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: 78ad1c9c41c0e664cbe1b9610e3147d3a0973bde3f4483db141a78b48485bc93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7557b674b7beda49c31e4cf2b6f84f86b13f0d7d1a0945cab526a6c4740f6e35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-01-15T08:04:13Z",
    "title_canon_sha256": "b697ccc8e7f4ed98175f7f265e19fbb3aa4e67642d7e4c0969aa95b8115f6c01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.10162",
    "kind": "arxiv",
    "version": 3
  }
}