Pith Number

pith:4RBLENAC

pith:2018:4RBLENACM6V2UFJQSOMPEEKBA2

not attested not anchored not stored refs pending

Composition operators with surjective symbol and small approximation numbers

Daniel Li (LML), Herv\'e Queff\'elec (LPP), Luis Rodr\'iguez-Piazza

arxiv:1811.05174 v1 · 2018-11-13 · 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{4RBLENACM6V2UFJQSOMPEEKBA2}

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	2026-05-18T00:00:46.700727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e442b2340267abaa15309398f21141068132486637a94e93173fe28cb16a2396

Aliases

arxiv: 1811.05174 · arxiv_version: 1811.05174v1 · doi: 10.48550/arxiv.1811.05174 · pith_short_12: 4RBLENACM6V2 · pith_short_16: 4RBLENACM6V2UFJQ · pith_short_8: 4RBLENAC

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/4RBLENACM6V2UFJQSOMPEEKBA2 \
  | 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: e442b2340267abaa15309398f21141068132486637a94e93173fe28cb16a2396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a479a386e8f443bf4a473d868372386e9a8218c97543c5a8b4217dfbb52b3cf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-13T09:17:32Z",
    "title_canon_sha256": "f1ff0b778cc8cb65172334a7fccaa50a658f3044f09380f1934922e0c9a72ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05174",
    "kind": "arxiv",
    "version": 1
  }
}