Pith Number

pith:CJAHOBSV

pith:2011:CJAHOBSVPRCASG6SJKVELATGTM

not attested not anchored not stored refs pending

Compact composition operators on Hardy-Orlicz and weighted Bergman-Orlicz spaces on the ball

St\'ephane Charpentier

arxiv:1101.3677 v1 · 2011-01-19 · 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{CJAHOBSVPRCASG6SJKVELATGTM}

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	2026-05-18T04:31:21.777876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12407706557c44091bd24aaa4582669b19efcaa7aebf77aa31f85a08be103a93

Aliases

arxiv: 1101.3677 · arxiv_version: 1101.3677v1 · doi: 10.48550/arxiv.1101.3677 · pith_short_12: CJAHOBSVPRCA · pith_short_16: CJAHOBSVPRCASG6S · pith_short_8: CJAHOBSV

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/CJAHOBSVPRCASG6SJKVELATGTM \
  | 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: 12407706557c44091bd24aaa4582669b19efcaa7aebf77aa31f85a08be103a93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68a2c4b4477786af4544c368bc0b353bd779d2209432a0024821a2a9d6c02550",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-19T12:34:10Z",
    "title_canon_sha256": "8d648fea18d19a2bca40ae95cbbe098e3a2e240662409bb12b22be952572602c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3677",
    "kind": "arxiv",
    "version": 1
  }
}