Pith Number

pith:FPATO34Z

pith:2017:FPATO34ZFIORC6ATLDNIZM7Z5R

not attested not anchored not stored refs pending

Fredholmness of Toeplitz operators on the Fock space

Raffael Hagger, Robert Fulsche

arxiv:1709.01457 v2 · 2017-09-05 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPATO34ZFIORC6ATLDNIZM7Z5R}

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	2026-05-18T00:01:19.756024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc1376f992a1d11781358da8cb3f9ec6b24ba11757ab09240c6148861c1bdd8

Aliases

arxiv: 1709.01457 · arxiv_version: 1709.01457v2 · doi: 10.48550/arxiv.1709.01457 · pith_short_12: FPATO34ZFIOR · pith_short_16: FPATO34ZFIORC6AT · pith_short_8: FPATO34Z

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/FPATO34ZFIORC6ATLDNIZM7Z5R \
  | 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: 2bc1376f992a1d11781358da8cb3f9ec6b24ba11757ab09240c6148861c1bdd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "985ba57f927307714e9dacde342ce0beb34e71c95a6190d7cf1eee4a78367e1d",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-05T15:34:58Z",
    "title_canon_sha256": "f717e68880f8a6477d384ac909b188b76c99affe7bb9ab8aa28b8c5b7583f156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01457",
    "kind": "arxiv",
    "version": 2
  }
}