Pith Number

pith:N6YLXA23

pith:2015:N6YLXA237AJTYHVMBW6V4MUM2T

not attested not anchored not stored refs pending

Composition Operators on the Bloch space of the Unit Ball of a Hilbert Space

Alejandro Miralles, Mikael Lindstr\"om, Oscar Blasco, Pablo Galindo

arxiv:1510.01524 v1 · 2015-10-06 · 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{N6YLXA237AJTYHVMBW6V4MUM2T}

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	2026-05-18T00:47:15.800967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb0bb835bf8133c1eac0dbd5e328cd4c49cb1f308deaba325c94ab6fa12879a

Aliases

arxiv: 1510.01524 · arxiv_version: 1510.01524v1 · doi: 10.48550/arxiv.1510.01524 · pith_short_12: N6YLXA237AJT · pith_short_16: N6YLXA237AJTYHVM · pith_short_8: N6YLXA23

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/N6YLXA237AJTYHVMBW6V4MUM2T \
  | 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: 6fb0bb835bf8133c1eac0dbd5e328cd4c49cb1f308deaba325c94ab6fa12879a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfda82b0936fbdcac4cb8da01a063d5f23a43d88ab468e651a19d83bff590f26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-06T10:58:40Z",
    "title_canon_sha256": "9909c09c76e9a7b12296d2ad88fad82d8848acbbea774d7e495e7ce09f4d71e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01524",
    "kind": "arxiv",
    "version": 1
  }
}