Pith Number

pith:5NJQPDWC

pith:2011:5NJQPDWCVZ6B5IGNWDHMZLBUDC

not attested not anchored not stored refs pending

Heisenberg uncertainty relation and statistical measures in the square well

Jaime Sanudo, Ricardo Lopez-Ruiz

arxiv:1108.2376 v1 · 2011-08-11 · nlin.AO · cs.IT · math.IT · 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{5NJQPDWCVZ6B5IGNWDHMZLBUDC}

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	2026-05-18T04:15:37.885144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb53078ec2ae7c1ea0cdb0ceccac3418a4ace0ce0912d54a814b91f3b224e8f0

Aliases

arxiv: 1108.2376 · arxiv_version: 1108.2376v1 · doi: 10.48550/arxiv.1108.2376 · pith_short_12: 5NJQPDWCVZ6B · pith_short_16: 5NJQPDWCVZ6B5IGN · pith_short_8: 5NJQPDWC

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/5NJQPDWCVZ6B5IGNWDHMZLBUDC \
  | 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: eb53078ec2ae7c1ea0cdb0ceccac3418a4ace0ce0912d54a814b91f3b224e8f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e86776fa160e2fd04296350d9b4d3b3ed3ce57002ac3f2511a59691bddbc31d",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2011-08-11T11:16:50Z",
    "title_canon_sha256": "e58d0dfbfe6ffdf949d1e067a46ac661a44adcc143d6b9f747d87948614d5732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2376",
    "kind": "arxiv",
    "version": 1
  }
}