Pith. sign in
Pith Number

pith:ORFYTCMZ

pith:2022:ORFYTCMZYKN744R4XCVTAC5W3M
not attested not anchored not stored refs pending

Spontaneous breaking of finite group symmetries at all temperatures

Haoyu Zhang, Junchen Rong, Pedro Liendo

arxiv:2205.13964 v5 · 2022-05-27 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ORFYTCMZYKN744R4XCVTAC5W3M}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T06:23:35.133916Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

744b898999c29bfe723cb8ab300bb6db06588cbd18e6dc2bf32849bc69180f3a

Aliases

arxiv: 2205.13964 · arxiv_version: 2205.13964v5 · doi: 10.48550/arxiv.2205.13964 · pith_short_12: ORFYTCMZYKN7 · pith_short_16: ORFYTCMZYKN744R4 · pith_short_8: ORFYTCMZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ORFYTCMZYKN744R4XCVTAC5W3M \
  | 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: 744b898999c29bfe723cb8ab300bb6db06588cbd18e6dc2bf32849bc69180f3a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "960bb570ff8c321470ae7bb9dd56b7b699b2f22592970b779fd84cdf00e42943",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-05-27T13:24:04Z",
    "title_canon_sha256": "f31732666e4127ee72fba36384b17af423da3e63c709a707a858379f01bb2f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.13964",
    "kind": "arxiv",
    "version": 5
  }
}