Pith Number

pith:K2HSZHLI

pith:2015:K2HSZHLIYWFFEV4CLFBPSH3R62

not attested not anchored not stored refs pending

The Balian-Low theorem and noncommutative tori

Franz Luef

arxiv:1507.00793 v3 · 2015-07-03 · math.OA · 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{K2HSZHLIYWFFEV4CLFBPSH3R62}

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	2026-05-18T00:24:40.104440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

568f2c9d68c58a5257825942f91f71f6bb4a6e5ee9efcdc63bae070791c2e5c5

Aliases

arxiv: 1507.00793 · arxiv_version: 1507.00793v3 · doi: 10.48550/arxiv.1507.00793 · pith_short_12: K2HSZHLIYWFF · pith_short_16: K2HSZHLIYWFFEV4C · pith_short_8: K2HSZHLI

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/K2HSZHLIYWFFEV4CLFBPSH3R62 \
  | 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: 568f2c9d68c58a5257825942f91f71f6bb4a6e5ee9efcdc63bae070791c2e5c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e15bb686d9c1a10f850a49f57ffc68982157807af78973690ce4b82f16fcf31",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-07-03T00:05:18Z",
    "title_canon_sha256": "29c846f13eddcda1596e24bd1914889d3715830bea12443fcea4d34ee47d1aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00793",
    "kind": "arxiv",
    "version": 3
  }
}