Pith Number

pith:NKO5OV5Y

pith:2015:NKO5OV5YO4BLXZN2CKPU5ED24C

not attested not anchored not stored refs pending

Composition operators on Hilbert spaces of entire functions with analytic symbols

Jan Stochel, Jerzy B. Stochel

arxiv:1503.03692 v4 · 2015-03-12 · 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{NKO5OV5YO4BLXZN2CKPU5ED24C}

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	2026-05-18T01:02:21.301117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a9dd757b87702bbe5ba129f4e907ae0a613eca60a91f50f7897c0e98588eb17

Aliases

arxiv: 1503.03692 · arxiv_version: 1503.03692v4 · doi: 10.48550/arxiv.1503.03692 · pith_short_12: NKO5OV5YO4BL · pith_short_16: NKO5OV5YO4BLXZN2 · pith_short_8: NKO5OV5Y

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/NKO5OV5YO4BLXZN2CKPU5ED24C \
  | 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: 6a9dd757b87702bbe5ba129f4e907ae0a613eca60a91f50f7897c0e98588eb17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8acfdf1d852a800ad67810e84cf63832bab27b18e55db970ebfcfce529a04323",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-12T12:20:30Z",
    "title_canon_sha256": "00f8d4e47959590bd72ae796cab8eff3cddd286ddae94e864ffc14f658967b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03692",
    "kind": "arxiv",
    "version": 4
  }
}