Pith Number

pith:PAULG4RL

pith:2013:PAULG4RL4IHJVEBHTHQTHWY3RY

not attested not anchored not stored refs pending

Refinement of Robertson-type uncertainty principles with geometric interpretation

Attila Andai, Attila Lovas

arxiv:1311.5069 v4 · 2013-11-20 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAULG4RL4IHJVEBHTHQTHWY3RY}

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	2026-05-18T00:36:51.936784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7828b3722be20e9a902799e133db1b8e207a783602cc93c55b54da46f1d61ab0

Aliases

arxiv: 1311.5069 · arxiv_version: 1311.5069v4 · doi: 10.48550/arxiv.1311.5069 · pith_short_12: PAULG4RL4IHJ · pith_short_16: PAULG4RL4IHJVEBH · pith_short_8: PAULG4RL

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/PAULG4RL4IHJVEBHTHQTHWY3RY \
  | 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: 7828b3722be20e9a902799e133db1b8e207a783602cc93c55b54da46f1d61ab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94b56a4be54e5d344e9d5c05aa9d2fad923ac268f190e42705bf7e6902423f76",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-20T14:39:02Z",
    "title_canon_sha256": "e2788ab293705e49c6f6564b891b40f1405a77a4168397dce36a4304aa0fc10c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5069",
    "kind": "arxiv",
    "version": 4
  }
}