Pith Number

pith:CGM6MOLS

pith:2021:CGM6MOLSVPMUNPUAFIK4DPT6PR

not attested not anchored not stored refs pending

The ergodic and non-ergodic phases in one dimensional clean Jaynes-Cummings-Hubbard system

Jin-Lou Ma, Lei Tan, Qing Li

arxiv:2112.06468 v1 · 2021-12-13 · 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{CGM6MOLSVPMUNPUAFIK4DPT6PR}

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	2026-07-05T04:23:48.089174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1199e63972abd946be802a15c1be7e7c584d0d6efc9c7a35631536a938c5d687

Aliases

arxiv: 2112.06468 · arxiv_version: 2112.06468v1 · doi: 10.48550/arxiv.2112.06468 · pith_short_12: CGM6MOLSVPMU · pith_short_16: CGM6MOLSVPMUNPUA · pith_short_8: CGM6MOLS

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/CGM6MOLSVPMUNPUAFIK4DPT6PR \
  | 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: 1199e63972abd946be802a15c1be7e7c584d0d6efc9c7a35631536a938c5d687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3ccb7650a4eb01b9033b17749755ad8a34dec4f244ebfc63cc7b407e78d7c3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-12-13T07:56:38Z",
    "title_canon_sha256": "21cfaae69c5e6ba1f7be99d1eebbdeaf2030ed6e6823c8727d50e3b8183ec8e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06468",
    "kind": "arxiv",
    "version": 1
  }
}