Pith Number

pith:EL3SZY3J

pith:2012:EL3SZY3JO54CDSAG6SGBLGHEST

not attested not anchored not stored refs pending

Lipschitz spaces and bounded mean oscillation of harmonic mappings

M. Vuorinen, SH. Chen, S. Ponnusamy, X. Wang

arxiv:1202.2183 v2 · 2012-02-10 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EL3SZY3JO54CDSAG6SGBLGHEST}

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	2026-05-18T03:37:41.505614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22f72ce369777821c806f48c1598e494f6af14fea91eaa73a545209913fd94a0

Aliases

arxiv: 1202.2183 · arxiv_version: 1202.2183v2 · doi: 10.48550/arxiv.1202.2183 · pith_short_12: EL3SZY3JO54C · pith_short_16: EL3SZY3JO54CDSAG · pith_short_8: EL3SZY3J

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/EL3SZY3JO54CDSAG6SGBLGHEST \
  | 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: 22f72ce369777821c806f48c1598e494f6af14fea91eaa73a545209913fd94a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4381b686468517c7a6237bb056e064370f64bd57acbc3e7f5163a9076f6c448",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-02-10T04:19:04Z",
    "title_canon_sha256": "0273964976d219b353f44e3cb51b54e307ff8325dd3ba3c11e5b0d2e92d4e854"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2183",
    "kind": "arxiv",
    "version": 2
  }
}