Pith Number

pith:CE7KGCXE

pith:2026:CE7KGCXE3OMCHAQVOLID2B2ZPJ

not attested not anchored not stored refs pending

Nuclear Toeplitz operators between Fock spaces

Chao Zu, Tengfei Ma, Yufeng Lu

arxiv:2601.10217 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{CE7KGCXE3OMCHAQVOLID2B2ZPJ}

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	2026-07-02T01:18:06.173709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

113ea30ae4db9823821572d03d07597a753d514d7821795180b3cb949a7f2fd0

Aliases

arxiv: 2601.10217 · arxiv_version: 2601.10217v3 · doi: 10.48550/arxiv.2601.10217 · pith_short_12: CE7KGCXE3OMC · pith_short_16: CE7KGCXE3OMCHAQV · pith_short_8: CE7KGCXE

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/CE7KGCXE3OMCHAQVOLID2B2ZPJ \
  | 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: 113ea30ae4db9823821572d03d07597a753d514d7821795180b3cb949a7f2fd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe510a8df5e8cb3db22f89a4b232d8fefce3df30f65aa6219dac51dae922ac87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-01-15T09:28:01Z",
    "title_canon_sha256": "6e66ead8a1605e5c6324d9da2173dda23ff7b38a75b2347d5a7ca4d3e4484eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.10217",
    "kind": "arxiv",
    "version": 3
  }
}