Pith Number

pith:34YYPHR3

pith:2018:34YYPHR3RMM6TCFFFGG2LT45EG

not attested not anchored not stored refs pending

Carleson measures and Toeplitz operators on small Bergman spaces on the ball

An Le

arxiv:1809.06583 v1 · 2018-09-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34YYPHR3RMM6TCFFFGG2LT45EG}

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	2026-05-18T00:05:25.276950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df31879e3b8b19e988a5298da5cf9d21818034c29904a15f844eb23096d4a08f

Aliases

arxiv: 1809.06583 · arxiv_version: 1809.06583v1 · doi: 10.48550/arxiv.1809.06583 · pith_short_12: 34YYPHR3RMM6 · pith_short_16: 34YYPHR3RMM6TCFF · pith_short_8: 34YYPHR3

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/34YYPHR3RMM6TCFFFGG2LT45EG \
  | 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: df31879e3b8b19e988a5298da5cf9d21818034c29904a15f844eb23096d4a08f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682b6399f948820b1347870e12dd5e2ea708d47b0288262c32a6c5b285713744",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-18T08:25:57Z",
    "title_canon_sha256": "8dd830dfb4fe6dd286fdcf56ff32c9a47eacce0e19c9131b38b472a24ff9e433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06583",
    "kind": "arxiv",
    "version": 1
  }
}