Pith Number

pith:WJWMQTMY

pith:2012:WJWMQTMY2PNLANBEMR25TUK3AQ

not attested not anchored not stored refs pending

Quantum Mechanical Hamiltonians with Large Ground-State Degeneracy

Choonkyu Lee, Kimyeong Lee

arxiv:1211.5211 v1 · 2012-11-22 · math-ph · hep-th · 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{WJWMQTMY2PNLANBEMR25TUK3AQ}

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	2026-05-18T01:53:01.661361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26cc84d98d3dab034246475d9d15b043b4a7a0a4c3266731bac87d307783d22

Aliases

arxiv: 1211.5211 · arxiv_version: 1211.5211v1 · doi: 10.48550/arxiv.1211.5211 · pith_short_12: WJWMQTMY2PNL · pith_short_16: WJWMQTMY2PNLANBE · pith_short_8: WJWMQTMY

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/WJWMQTMY2PNLANBEMR25TUK3AQ \
  | 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: b26cc84d98d3dab034246475d9d15b043b4a7a0a4c3266731bac87d307783d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d27f8fc555763cffea2379ee914eb7d3b63d9d39a0e334d5cd09354c99a3f2",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-22T06:28:17Z",
    "title_canon_sha256": "c90f90c2f464543d360baf1748911aff8e051e20b9117b6e920c2c038fc6d515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5211",
    "kind": "arxiv",
    "version": 1
  }
}