Pith Number

pith:TBKCVS2K

pith:2017:TBKCVS2KZ65BEYACWDKIQLL6BB

not attested not anchored not stored refs pending

Localization and compactness of Operators on Fock Spaces

Brett D. Wick, Xiaofen Lv, Zhangjian Hu

arxiv:1712.07278 v1 · 2017-12-20 · 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{TBKCVS2KZ65BEYACWDKIQLL6BB}

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	2026-05-18T00:27:34.982825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98542acb4acfba126002b0d4882d7e0876afae7db0f34f7e864e60dbcf7e5e24

Aliases

arxiv: 1712.07278 · arxiv_version: 1712.07278v1 · doi: 10.48550/arxiv.1712.07278 · pith_short_12: TBKCVS2KZ65B · pith_short_16: TBKCVS2KZ65BEYAC · pith_short_8: TBKCVS2K

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/TBKCVS2KZ65BEYACWDKIQLL6BB \
  | 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: 98542acb4acfba126002b0d4882d7e0876afae7db0f34f7e864e60dbcf7e5e24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a7ddfb6b7130c3d14c2cf1de4259ffff9431fd3d1e6493d8b00450404bb42c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-12-20T00:40:29Z",
    "title_canon_sha256": "c0a4cbdb65299fd250acf349a26750ed9f86ad150c72e528f90d58ede755030e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07278",
    "kind": "arxiv",
    "version": 1
  }
}