Pith Number

pith:KP2O7XK3

pith:2010:KP2O7XK37KI5OXOTCZMB5XCQ6H

not attested not anchored not stored refs pending

Compact composition operators on Hardy-Orlicz and Bergman-Orlicz spaces

Daniel Li (LML)

arxiv:1010.6207 v2 · 2010-10-29 · 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{KP2O7XK37KI5OXOTCZMB5XCQ6H}

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	2026-05-18T04:26:23.030337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53f4efdd5bfa91d75dd316581edc50f1c6752dfeaeba2f1918934e41832ec1c5

Aliases

arxiv: 1010.6207 · arxiv_version: 1010.6207v2 · doi: 10.48550/arxiv.1010.6207 · pith_short_12: KP2O7XK37KI5 · pith_short_16: KP2O7XK37KI5OXOT · pith_short_8: KP2O7XK3

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/KP2O7XK37KI5OXOTCZMB5XCQ6H \
  | 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: 53f4efdd5bfa91d75dd316581edc50f1c6752dfeaeba2f1918934e41832ec1c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e7a1a098107cae771bf1104e6451161deb59251bae7f63278832726ac68cdb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-29T13:52:11Z",
    "title_canon_sha256": "ec5d1da43c8de5efcce9b32fb88b90b4fffebf400a0989f1e7d63e9a2d3630c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6207",
    "kind": "arxiv",
    "version": 2
  }
}