Pith Number

pith:BIRXXNBJ

pith:2012:BIRXXNBJVJEZ223ZTOQE45JN4P

not attested not anchored not stored refs pending

The Shannon-entropy-based uncertainty relation for $D$-dimensional central potentials

Jes\'us S. Dehesa, {\L}ukasz Rudnicki, Pablo S\'anchez-Moreno

arxiv:1201.3726 v2 · 2012-01-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIRXXNBJVJEZ223ZTOQE45JN4P}

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	2026-05-18T03:25:16.360011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a237bb429aa499d6b799ba04e752de3d149a73f92393d2d8d685b2c33ed0ad3

Aliases

arxiv: 1201.3726 · arxiv_version: 1201.3726v2 · doi: 10.48550/arxiv.1201.3726 · pith_short_12: BIRXXNBJVJEZ · pith_short_16: BIRXXNBJVJEZ223Z · pith_short_8: BIRXXNBJ

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/BIRXXNBJVJEZ223ZTOQE45JN4P \
  | 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: 0a237bb429aa499d6b799ba04e752de3d149a73f92393d2d8d685b2c33ed0ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0daf5eaff1059aabcbc21b1470a3a13d6e79bf34c91ef90b58d90145ddad32b0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-18T09:11:32Z",
    "title_canon_sha256": "712894269b74cec69abcd6faa415c658e9b80a19ffd1d33b25b55f3929d6e02c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3726",
    "kind": "arxiv",
    "version": 2
  }
}