Pith Number

pith:A7Q2ADAW

pith:2015:A7Q2ADAWSDVNIDBSDC622Q2DE7

not attested not anchored not stored refs pending

Composition operators on vector-valued analytic function spaces: a survey

Hans-Olav Tylli, Jussi Laitila

arxiv:1505.01945 v1 · 2015-05-08 · 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{A7Q2ADAWSDVNIDBSDC622Q2DE7}

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	2026-05-18T02:16:38.407051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07e1a00c1690ead40c3218bdad434327e2aaf63a91e7d24f864d0a09399daa56

Aliases

arxiv: 1505.01945 · arxiv_version: 1505.01945v1 · doi: 10.48550/arxiv.1505.01945 · pith_short_12: A7Q2ADAWSDVN · pith_short_16: A7Q2ADAWSDVNIDBS · pith_short_8: A7Q2ADAW

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/A7Q2ADAWSDVNIDBSDC622Q2DE7 \
  | 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: 07e1a00c1690ead40c3218bdad434327e2aaf63a91e7d24f864d0a09399daa56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2131fc84b1e8f92099a3658c0ff4b3c59203eb9f0b98a89a4bf240d809497cf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-08T07:28:30Z",
    "title_canon_sha256": "e9e5c7609f11a2af7f93047fd5a4b9820fb1b400316547c43e0b1b5a79db41d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01945",
    "kind": "arxiv",
    "version": 1
  }
}