Pith Number

pith:O7MR3V75

pith:2015:O7MR3V75VJRKNT53DF33AU2J7U

not attested not anchored not stored refs pending

Toeplitz operators on doubling Fock spaces

Daniel Pascuas, Roc Oliver

arxiv:1508.02887 v1 · 2015-08-12 · math.CV · 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{O7MR3V75VJRKNT53DF33AU2J7U}

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	2026-05-18T01:35:23.543799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77d91dd7fdaa62a6cfbb1977b05349fd36c4fa7ad3824d96f1c8f79f613024d0

Aliases

arxiv: 1508.02887 · arxiv_version: 1508.02887v1 · doi: 10.48550/arxiv.1508.02887 · pith_short_12: O7MR3V75VJRK · pith_short_16: O7MR3V75VJRKNT53 · pith_short_8: O7MR3V75

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/O7MR3V75VJRKNT53DF33AU2J7U \
  | 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: 77d91dd7fdaa62a6cfbb1977b05349fd36c4fa7ad3824d96f1c8f79f613024d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e4d3e94baac6f42d8f592407862027e198eb11e4c07f0208f0ef4f44f47474",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-08-12T11:59:06Z",
    "title_canon_sha256": "da9c430e28656965d44e1fe89371db39495d3de66d22c4a13e754a1c91618155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02887",
    "kind": "arxiv",
    "version": 1
  }
}