Pith Number

pith:ONARVOKA

pith:2018:ONARVOKAU5Q5EWSMZWKTBDG6UW

not attested not anchored not stored refs pending

A Product Expansion for Toeplitz Operators on the Fock Space

Raffael Hagger

arxiv:1808.10376 v2 · 2018-08-30 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONARVOKAU5Q5EWSMZWKTBDG6UW}

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	2026-05-17T23:47:15.945570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73411ab940a761d25a4ccd95308cdea5b28a00d09a099a1789fcbe30e62f0fa6

Aliases

arxiv: 1808.10376 · arxiv_version: 1808.10376v2 · doi: 10.48550/arxiv.1808.10376 · pith_short_12: ONARVOKAU5Q5 · pith_short_16: ONARVOKAU5Q5EWSM · pith_short_8: ONARVOKA

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/ONARVOKAU5Q5EWSMZWKTBDG6UW \
  | 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: 73411ab940a761d25a4ccd95308cdea5b28a00d09a099a1789fcbe30e62f0fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58291f58eed192bcd7c4874bb3776a6b5f5cf3b28ee28b1df573dc3f57596499",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-30T16:05:07Z",
    "title_canon_sha256": "5f76cd97db87796e8083a3dcf40daee454a1df15f6760b973b5cca9521bee055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10376",
    "kind": "arxiv",
    "version": 2
  }
}