Pith Number

pith:OLCVAIGW

pith:2013:OLCVAIGW6N7UZFB6RNHV2HTLAI

not attested not anchored not stored refs pending

A connection between the Uncertainty Principles on the real line and on the circle

Nils Byrial Andersen

arxiv:1307.4904 v1 · 2013-07-18 · 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{OLCVAIGW6N7UZFB6RNHV2HTLAI}

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	2026-05-18T03:18:07.263720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72c55020d6f37f4c943e8b4f5d1e6b022beb34f9fe99db21455a094c1d37fb89

Aliases

arxiv: 1307.4904 · arxiv_version: 1307.4904v1 · doi: 10.48550/arxiv.1307.4904 · pith_short_12: OLCVAIGW6N7U · pith_short_16: OLCVAIGW6N7UZFB6 · pith_short_8: OLCVAIGW

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/OLCVAIGW6N7UZFB6RNHV2HTLAI \
  | 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: 72c55020d6f37f4c943e8b4f5d1e6b022beb34f9fe99db21455a094c1d37fb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfccfb509093bc743bb5366f486f7928ed4c1de91fee7b270713224082b96962",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-18T10:59:54Z",
    "title_canon_sha256": "d6fc4be32101f1332009cb9f0281ec92e1aebf5761beb6ba5392df7bceef28c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4904",
    "kind": "arxiv",
    "version": 1
  }
}