Pith Number

pith:Y3V4FDDF

pith:2009:Y3V4FDDFRARO4HFK2W4F52TXG7

not attested not anchored not stored refs pending

Quantum Phase Transition in the Sub-Ohmic Spin-Boson Model: Extended Coherent-state Approach

Ke-Lin Wang, Qing-Hu Chen, Yu-Yu Zhang

arxiv:0912.1991 v2 · 2009-12-10 · cond-mat.quant-gas · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3V4FDDFRARO4HFK2W4F52TXG7}

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	2026-05-18T02:10:24.851492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6ebc28c658822ee1caad5b85eea7737fe5b56151d116217e346800a3eb5bbf3

Aliases

arxiv: 0912.1991 · arxiv_version: 0912.1991v2 · doi: 10.48550/arxiv.0912.1991 · pith_short_12: Y3V4FDDFRARO · pith_short_16: Y3V4FDDFRARO4HFK · pith_short_8: Y3V4FDDF

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/Y3V4FDDFRARO4HFK2W4F52TXG7 \
  | 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: c6ebc28c658822ee1caad5b85eea7737fe5b56151d116217e346800a3eb5bbf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f837cf825d2bd0cbe251c35932457758fa6b117c0b00743efd324648da169016",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2009-12-10T13:14:51Z",
    "title_canon_sha256": "a54fe26d90536f60d93145f8cbd5d157d38f80b1ace95c13eff5a153a02ea925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1991",
    "kind": "arxiv",
    "version": 2
  }
}