Pith Number

pith:XUOMAVOL

pith:2010:XUOMAVOLUZWIN62PRLCW5HBDNY

not attested not anchored not stored refs pending

Scaling Analysis in the Numerical Renormalization Group Study of the Sub-Ohmic Spin-Boson Model

Ning-Hua Tong, Yan-Hua Hou

arxiv:1012.5615 v2 · 2010-12-27 · 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{XUOMAVOLUZWIN62PRLCW5HBDNY}

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	2026-05-18T03:57:00.894364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1cc055cba66c86fb4f8ac56e9c236e0487c9c4dc064cbb7595e51261cdad9e

Aliases

arxiv: 1012.5615 · arxiv_version: 1012.5615v2 · doi: 10.48550/arxiv.1012.5615 · pith_short_12: XUOMAVOLUZWI · pith_short_16: XUOMAVOLUZWIN62P · pith_short_8: XUOMAVOL

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/XUOMAVOLUZWIN62PRLCW5HBDNY \
  | 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: bd1cc055cba66c86fb4f8ac56e9c236e0487c9c4dc064cbb7595e51261cdad9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10bc7ee9ae3203c4a9ce9bda10312de8f314b95f82880257a28950d9f8d22d69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-12-27T13:53:18Z",
    "title_canon_sha256": "3cf2a7e981b53917981eaeb62ef115ecc89070335bc553122bd2715a709571cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5615",
    "kind": "arxiv",
    "version": 2
  }
}