Pith Number

pith:GSQMVEEC

pith:2016:GSQMVEEC6UN4LNFBW7VLO6N3T4

not attested not anchored not stored refs pending

Classical nature of ordered quantum phases and origin of spontaneous symmetry breaking

F. Illuminati, G. Zonzo, L. Ferro, M. Blasone, M. Cianciaruso, S. M. Giampaolo, W. Roga

arxiv:1604.06403 v1 · 2016-04-21 · cond-mat.stat-mech · math-ph · math.MP · 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{GSQMVEEC6UN4LNFBW7VLO6N3T4}

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	2026-05-18T01:16:30.231066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34a0ca9082f51bc5b4a1b7eab779bb9f3e2ce944833b5095cdf505f8767e3198

Aliases

arxiv: 1604.06403 · arxiv_version: 1604.06403v1 · doi: 10.48550/arxiv.1604.06403 · pith_short_12: GSQMVEEC6UN4 · pith_short_16: GSQMVEEC6UN4LNFB · pith_short_8: GSQMVEEC

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/GSQMVEEC6UN4LNFBW7VLO6N3T4 \
  | 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: 34a0ca9082f51bc5b4a1b7eab779bb9f3e2ce944833b5095cdf505f8767e3198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00cf75a96de629224c0a8b6993983705ecb6aeb9e0655ae1bb2a348a51bcefed",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-04-21T18:02:36Z",
    "title_canon_sha256": "ab39d1089cb3548f7eaaea194c474548e401f138bd6f075e1f30b6c7b9a42044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06403",
    "kind": "arxiv",
    "version": 1
  }
}