Pith Number

pith:EPZ6OZEW

pith:2012:EPZ6OZEWJ5PVVDBWUVXZYWR6B6

not attested not anchored not stored refs pending

Quantum motion on a torus as a submanifold problem in a generalized Dirac's theory of second-class constraints

D. M. Xun, Q. H. Liu, X. M. Zhu

arxiv:1212.6373 v2 · 2012-12-27 · 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{EPZ6OZEWJ5PVVDBWUVXZYWR6B6}

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	2026-05-18T02:41:09.175050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23f3e764964f5f5a8c36a56f9c5a3e0fb80976b7e2b387e37ffc343a733ff6f1

Aliases

arxiv: 1212.6373 · arxiv_version: 1212.6373v2 · doi: 10.48550/arxiv.1212.6373 · pith_short_12: EPZ6OZEWJ5PV · pith_short_16: EPZ6OZEWJ5PVVDBW · pith_short_8: EPZ6OZEW

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/EPZ6OZEWJ5PVVDBWUVXZYWR6B6 \
  | 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: 23f3e764964f5f5a8c36a56f9c5a3e0fb80976b7e2b387e37ffc343a733ff6f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7fda9afe8b82380d0eacc2f06f8d801b8837e237213da26993b90d362c9f6d4",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-27T14:10:39Z",
    "title_canon_sha256": "e5b2937531f3a876dbf40c3dc511d9c513b8f66d488761dd4ae9a55d12dbadeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6373",
    "kind": "arxiv",
    "version": 2
  }
}