Pith Number

pith:67R3FDKH

pith:2015:67R3FDKHNMRRFFSAPTG5LF3FCM

not attested not anchored not stored refs pending

Symmetry and Explicit Marking of the Critical Phase in Two-Bath Spin-Boson Model

Javier Prior, Nengji Zhou, Yang Zhao, Yao Yao

arxiv:1501.05061 v1 · 2015-01-21 · 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{67R3FDKHNMRRFFSAPTG5LF3FCM}

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	2026-05-18T02:29:00.833099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e3b28d476b231296407ccdd5976513068e0dc3b9398683a95275361b816460

Aliases

arxiv: 1501.05061 · arxiv_version: 1501.05061v1 · doi: 10.48550/arxiv.1501.05061 · pith_short_12: 67R3FDKHNMRR · pith_short_16: 67R3FDKHNMRRFFSA · pith_short_8: 67R3FDKH

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/67R3FDKHNMRRFFSAPTG5LF3FCM \
  | 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: f7e3b28d476b231296407ccdd5976513068e0dc3b9398683a95275361b816460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "522e6f0ae8b5ade04cad0236caf6f6abddac81183411039561c5949bcbc56923",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-01-21T05:50:07Z",
    "title_canon_sha256": "95b6002783e4af83584412d64fcee0cba48ca276086a2b754ba7f44912f7d168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05061",
    "kind": "arxiv",
    "version": 1
  }
}