Pith Number

pith:JPS75HC6

pith:2010:JPS75HC6HHSBXQLT3QIJB5YKLX

not attested not anchored not stored refs pending

The essential norm of a composition operator on the minimal Mobius invariant space

Michael Papadimitrakis, Themis Mitsis

arxiv:1005.4935 v2 · 2010-05-26 · 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{JPS75HC6HHSBXQLT3QIJB5YKLX}

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	2026-05-18T04:42:36.064340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be5fe9c5e39e41bc173dc1090f70a5ddda6dd8bdcfc2541dfa47b5cbbd92037

Aliases

arxiv: 1005.4935 · arxiv_version: 1005.4935v2 · doi: 10.48550/arxiv.1005.4935 · pith_short_12: JPS75HC6HHSB · pith_short_16: JPS75HC6HHSBXQLT · pith_short_8: JPS75HC6

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/JPS75HC6HHSBXQLT3QIJB5YKLX \
  | 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: 4be5fe9c5e39e41bc173dc1090f70a5ddda6dd8bdcfc2541dfa47b5cbbd92037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b76302b54164bfc2d1da9d5aaafaf8547cbc0d678a240fd049b536bafab03d5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-05-26T20:03:13Z",
    "title_canon_sha256": "f6d29b4031f1bd8f8e4726f99d378c0cc5db8186cd244d85bc41fb4ece8bbb4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4935",
    "kind": "arxiv",
    "version": 2
  }
}