Pith Number

pith:XWIBIPVC

pith:2011:XWIBIPVC5QEZAKMLHFK4Z442NF

not attested not anchored not stored refs pending

On Beurling's sampling theorem in $\R^n$

Alexander Olevskii, Alexander Ulanovskii

arxiv:1106.0576 v1 · 2011-06-03 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWIBIPVC5QEZAKMLHFK4Z442NF}

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	2026-05-18T04:20:49.149210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd90143ea2ec0990298b3955ccf39a6955f3acf0ad39a7f98a41837d1fd5bf4c

Aliases

arxiv: 1106.0576 · arxiv_version: 1106.0576v1 · doi: 10.48550/arxiv.1106.0576 · pith_short_12: XWIBIPVC5QEZ · pith_short_16: XWIBIPVC5QEZAKML · pith_short_8: XWIBIPVC

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/XWIBIPVC5QEZAKMLHFK4Z442NF \
  | 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: bd90143ea2ec0990298b3955ccf39a6955f3acf0ad39a7f98a41837d1fd5bf4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2eb7f1ee9422b8708a866e4d6df67de914f0a3484c9b8c3e57c0f35f56827f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-06-03T07:36:03Z",
    "title_canon_sha256": "96e5a2c8ac971e051b554cebdcab8cbd0cf2f69e34a37a7b75695b7724658808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0576",
    "kind": "arxiv",
    "version": 1
  }
}