Pith Number

pith:G2F72AP4

pith:2017:G2F72AP4YUL5WPUV34JAFIOQS5

not attested not anchored not stored refs pending

Essential norms of weighted composition operators between Lipschitz spaces of arbitrary order

Evgueni Doubtsov

arxiv:1711.02024 v1 · 2017-11-06 · 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{G2F72AP4YUL5WPUV34JAFIOQS5}

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	2026-05-18T00:31:16.312765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

368bfd01fcc517db3e95df1202a1d0975542136ecd106a54e3c2f4bf4bb38a7a

Aliases

arxiv: 1711.02024 · arxiv_version: 1711.02024v1 · doi: 10.48550/arxiv.1711.02024 · pith_short_12: G2F72AP4YUL5 · pith_short_16: G2F72AP4YUL5WPUV · pith_short_8: G2F72AP4

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/G2F72AP4YUL5WPUV34JAFIOQS5 \
  | 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: 368bfd01fcc517db3e95df1202a1d0975542136ecd106a54e3c2f4bf4bb38a7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4db761fdd54e7610f29e0d261cdd3f36186b0e014b4442e80753a6e4659c68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-11-06T17:23:06Z",
    "title_canon_sha256": "84d095aab0b2194f185b341be9171883b86c874dc54500db4e8cbf704787586c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02024",
    "kind": "arxiv",
    "version": 1
  }
}