Pith Number

pith:PJF56NSQ

pith:2016:PJF56NSQZCEWCFWPNTG3KIVGUV

not attested not anchored not stored refs pending

A note on the spectrum of composition operators on spaces of real analytic functions

Jos\'e Bonet, Pawe{\l} Doma\'nski

arxiv:1609.01109 v1 · 2016-09-05 · 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{PJF56NSQZCEWCFWPNTG3KIVGUV}

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	2026-05-18T01:06:19.024255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4bdf3650c8896116cf6ccdb522a6a57090fb1607ef30e42a7e4f5684cc0ff4

Aliases

arxiv: 1609.01109 · arxiv_version: 1609.01109v1 · doi: 10.48550/arxiv.1609.01109 · pith_short_12: PJF56NSQZCEW · pith_short_16: PJF56NSQZCEWCFWP · pith_short_8: PJF56NSQ

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/PJF56NSQZCEWCFWPNTG3KIVGUV \
  | 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: 7a4bdf3650c8896116cf6ccdb522a6a57090fb1607ef30e42a7e4f5684cc0ff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "149c486efd32d2bf45d3bc294e13605690ef4dbabefb03f6f1e731c1816d3fec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-05T11:37:44Z",
    "title_canon_sha256": "8e38c5ac456c1c9d9f2c34aefa0b87948d56ae6942f7d57b84c5dae3762c0a5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01109",
    "kind": "arxiv",
    "version": 1
  }
}