Pith Number

pith:DROYKKQR

pith:2011:DROYKKQR2IC5GFLXTJRQCINYPU

not attested not anchored not stored refs pending

Spin Hamilton Operators, Symmetry Breaking, Energy Level Crossing and Entanglement

Jacqueline de Greef, Willi-Hans Steeb, Yorick Hardy

arxiv:1110.4204 v2 · 2011-10-19 · 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{DROYKKQR2IC5GFLXTJRQCINYPU}

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	2026-05-18T03:36:37.089461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c5d852a11d205d315779a630121b87d10aea7275c2dca9de753e983be06a697

Aliases

arxiv: 1110.4204 · arxiv_version: 1110.4204v2 · doi: 10.48550/arxiv.1110.4204 · pith_short_12: DROYKKQR2IC5 · pith_short_16: DROYKKQR2IC5GFLX · pith_short_8: DROYKKQR

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/DROYKKQR2IC5GFLXTJRQCINYPU \
  | 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: 1c5d852a11d205d315779a630121b87d10aea7275c2dca9de753e983be06a697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca4660f38e4551c568c9a60e3797c356e02dd435aa4098e723a63c5ac971b22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-19T08:20:17Z",
    "title_canon_sha256": "d1a3bf4d6195630f46b316690643c8fdef4a5cb056ece040fe204af8ec27aa78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4204",
    "kind": "arxiv",
    "version": 2
  }
}