Pith Number

pith:OVW6VF4J

pith:2013:OVW6VF4JTRSC4DFWGRL2SEJUUI

not attested not anchored not stored refs pending

Compact and weakly compact composition operators from the Bloch space into M\"obius invariant spaces

Dragan Vukotic, Manuel D. Contreras, Santiago Diaz-Madrigal

arxiv:1307.5784 v2 · 2013-07-22 · 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{OVW6VF4JTRSC4DFWGRL2SEJUUI}

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	2026-05-18T01:00:13.108281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

756dea97899c642e0cb63457a91134a2162fc59f9d09be4e6acff6b03b5cdca6

Aliases

arxiv: 1307.5784 · arxiv_version: 1307.5784v2 · doi: 10.48550/arxiv.1307.5784 · pith_short_12: OVW6VF4JTRSC · pith_short_16: OVW6VF4JTRSC4DFW · pith_short_8: OVW6VF4J

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/OVW6VF4JTRSC4DFWGRL2SEJUUI \
  | 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: 756dea97899c642e0cb63457a91134a2162fc59f9d09be4e6acff6b03b5cdca6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad85650daf905d4da1ea1a69b7a0f23bc700225ae1dc2004f7020f727e2a90f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-22T17:11:36Z",
    "title_canon_sha256": "84bc6436963ea12bfc2c0397c40a447e5a8940eb6e21b3ce96e3f20df13b878d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5784",
    "kind": "arxiv",
    "version": 2
  }
}