Pith Number

pith:E24IPKZ4

pith:2012:E24IPKZ4NM55VORI3VBSLSIWK7

not attested not anchored not stored refs pending

Heisenberg Uncertainty Principle as Probe of Entanglement Entropy: Application to Superradiant Quantum Phase Transitions

Karyn Le Hur, Mehmet Dogan, Pierre Nataf

arxiv:1204.3065 v2 · 2012-04-13 · quant-ph · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E24IPKZ4NM55VORI3VBSLSIWK7}

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	2026-05-18T03:44:02.438851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26b887ab3c6b3bdaba28dd4325c91657f9896d133fbd10dfdbd52b2e44b6a017

Aliases

arxiv: 1204.3065 · arxiv_version: 1204.3065v2 · doi: 10.48550/arxiv.1204.3065 · pith_short_12: E24IPKZ4NM55 · pith_short_16: E24IPKZ4NM55VORI · pith_short_8: E24IPKZ4

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/E24IPKZ4NM55VORI3VBSLSIWK7 \
  | 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: 26b887ab3c6b3bdaba28dd4325c91657f9896d133fbd10dfdbd52b2e44b6a017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95787a54be77edc2d47cad0000694b9f0bb12a1ff6b46eb8b51751d9cf03313a",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-13T18:07:20Z",
    "title_canon_sha256": "6c2d0b4d1a6715abd2962f6afe5725f2b8245cfb747b129189f7c43061949ad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3065",
    "kind": "arxiv",
    "version": 2
  }
}