Pith Number

pith:7QYSHE5P

pith:2009:7QYSHE5PJ6B6VSM63CJ3QHVCAS

not attested not anchored not stored refs pending

Toeplitz operators on generalized Bergman spaces

Brian C. Hall, Kamthorn Chailuek

arxiv:0903.0651 v3 · 2009-03-03 · math.CV · 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{7QYSHE5PJ6B6VSM63CJ3QHVCAS}

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	2026-05-18T04:42:35.370739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc312393af4f83eac99ed893b81ea20489bb07082c8903c49d22cd29ad3c8811

Aliases

arxiv: 0903.0651 · arxiv_version: 0903.0651v3 · doi: 10.48550/arxiv.0903.0651 · pith_short_12: 7QYSHE5PJ6B6 · pith_short_16: 7QYSHE5PJ6B6VSM6 · pith_short_8: 7QYSHE5P

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/7QYSHE5PJ6B6VSM63CJ3QHVCAS \
  | 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: fc312393af4f83eac99ed893b81ea20489bb07082c8903c49d22cd29ad3c8811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "237c3eec79f60e39e8b300b94fa562356a0169de4d736ca1cdf49373503ef4fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-03-03T23:06:34Z",
    "title_canon_sha256": "d54d643f8b734d6b90e4eb024886b3effbd80b1d18e3bff42b6ca2ecfda1e42c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0651",
    "kind": "arxiv",
    "version": 3
  }
}