Pith Number

pith:54DWQQFY

pith:2013:54DWQQFYR4Y24CCJKPJ7CW5T3I

not attested not anchored not stored refs pending

Operators on two Banach spaces of continuous functions on locally compact spaces of ordinals

Niels Jakob Laustsen, Tomasz Kania

arxiv:1304.4951 v2 · 2013-04-17 · 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{54DWQQFYR4Y24CCJKPJ7CW5T3I}

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	2026-05-18T02:17:52.423824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef076840b88f31ae084953d3f15bb3da17c68f3784797763c672fcbf42bbed8a

Aliases

arxiv: 1304.4951 · arxiv_version: 1304.4951v2 · doi: 10.48550/arxiv.1304.4951 · pith_short_12: 54DWQQFYR4Y2 · pith_short_16: 54DWQQFYR4Y24CCJ · pith_short_8: 54DWQQFY

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/54DWQQFYR4Y24CCJKPJ7CW5T3I \
  | 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: ef076840b88f31ae084953d3f15bb3da17c68f3784797763c672fcbf42bbed8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ede1fe37693c9b7bf3bbc00387232ed67e35ea14167206b960a32703eeec2d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-04-17T20:07:29Z",
    "title_canon_sha256": "58af25c9950458bfabf624a54e645ace7eb37ea6a4c66517a376c8b55a3fc053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4951",
    "kind": "arxiv",
    "version": 2
  }
}