Pith Number

pith:BU4Z4XAV

pith:2010:BU4Z4XAVK4YQMGTUK7MLTECZG7

not attested not anchored not stored refs pending

Density of states and quantum phase transition in the thermodynamic limit of the Mermin central-spin model

Pedro Ribeiro, R\'emy Mosseri, Savannah Sterling Garmon

arxiv:1004.5422 v2 · 2010-04-29 · 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{BU4Z4XAVK4YQMGTUK7MLTECZG7}

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	2026-05-18T03:53:07.273672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d399e5c155731061a7457d8b9905937e1c5853dc88be8ae8c0f904c31df5cdc

Aliases

arxiv: 1004.5422 · arxiv_version: 1004.5422v2 · doi: 10.48550/arxiv.1004.5422 · pith_short_12: BU4Z4XAVK4YQ · pith_short_16: BU4Z4XAVK4YQMGTU · pith_short_8: BU4Z4XAV

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/BU4Z4XAVK4YQMGTUK7MLTECZG7 \
  | 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: 0d399e5c155731061a7457d8b9905937e1c5853dc88be8ae8c0f904c31df5cdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "581fb20062296d4717aefd591c5887d36ce8cbe56de6c6da1cce56170d5401ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-04-29T23:53:52Z",
    "title_canon_sha256": "e312b5fec6b7809fefebcfa54aaf93014dea5efce99ab9df898415793698566a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5422",
    "kind": "arxiv",
    "version": 2
  }
}