Pith Number

pith:IMGQ2VAZ

pith:2010:IMGQ2VAZGNBGVNU55XTVCY3FY2

not attested not anchored not stored refs pending

Criticality of the Mean-Field Spin-Boson Model: Boson State Truncation and Its Scaling Analysis

Ning-Hua Tong, Yan-Hua Hou

arxiv:1005.4977 v1 · 2010-05-27 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMGQ2VAZGNBGVNU55XTVCY3FY2}

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	2026-05-18T02:07:07.502088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430d0d541933426ab69dede7516365c6b11068b1d0918a685efd604545a213a2

Aliases

arxiv: 1005.4977 · arxiv_version: 1005.4977v1 · doi: 10.48550/arxiv.1005.4977 · pith_short_12: IMGQ2VAZGNBG · pith_short_16: IMGQ2VAZGNBGVNU5 · pith_short_8: IMGQ2VAZ

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/IMGQ2VAZGNBGVNU55XTVCY3FY2 \
  | 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: 430d0d541933426ab69dede7516365c6b11068b1d0918a685efd604545a213a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfac896e4e36cfa97f4164fc631fa2a87ffdf5352ed9ef5d9366d3f860a9b7da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-05-27T01:53:57Z",
    "title_canon_sha256": "2516feb899e6175505de977b05a16a85de4cb80fbe2c49aeb4b260b0722c32ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4977",
    "kind": "arxiv",
    "version": 1
  }
}