Pith Number

pith:CMVHSVJ5

pith:2014:CMVHSVJ5RKJJEYWHMGMW6JX4JC

not attested not anchored not stored refs pending

Classical nature of ordered phases: origin of spontaneous symmetry breaking

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

arxiv:1408.1412 v2 · 2014-08-06 · 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{CMVHSVJ5RKJJEYWHMGMW6JX4JC}

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	2026-05-18T02:32:22.075674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

132a79553d8a929262c761996f26fc48a483d256237ab7085d86665196c422be

Aliases

arxiv: 1408.1412 · arxiv_version: 1408.1412v2 · doi: 10.48550/arxiv.1408.1412 · pith_short_12: CMVHSVJ5RKJJ · pith_short_16: CMVHSVJ5RKJJEYWH · pith_short_8: CMVHSVJ5

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/CMVHSVJ5RKJJEYWHMGMW6JX4JC \
  | 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: 132a79553d8a929262c761996f26fc48a483d256237ab7085d86665196c422be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f69b4fe4bdb4107bba0c042ef73093739a4edbffeb529cee8b8fa9de4fd7d7c",
    "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": "2014-08-06T20:13:44Z",
    "title_canon_sha256": "3f5fe2b4abc158c4ed5cbf9dd6d09d680207ad35462d7a3df0bf12eb935dc5de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1412",
    "kind": "arxiv",
    "version": 2
  }
}