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Pith Number

pith:66IUYTVA

pith:2014:66IUYTVALDB2FL56HIBKAC7ACA
not attested not anchored not stored refs pending

The affine and Euclidean normalizers of the subperiodic groups

Brian Kevin VanLeeuwen, Daniel B. Litvin, Pedro Valent\'in De Jes\'us, Venkatraman Gopalan

arxiv:1409.2400 v1 · 2014-09-08 · cond-mat.mtrl-sci

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{66IUYTVALDB2FL56HIBKAC7ACA}

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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 2026-05-18T02:43:17.175634Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f7914c4ea058c3a2afbe3a02a00be010021dd14cb8d711696a9607ce6f4e8c4b

Aliases

arxiv: 1409.2400 · arxiv_version: 1409.2400v1 · doi: 10.48550/arxiv.1409.2400 · pith_short_12: 66IUYTVALDB2 · pith_short_16: 66IUYTVALDB2FL56 · pith_short_8: 66IUYTVA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/66IUYTVALDB2FL56HIBKAC7ACA \
  | 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: f7914c4ea058c3a2afbe3a02a00be010021dd14cb8d711696a9607ce6f4e8c4b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a26c17d2ab95a50bf78abf0c6e73723b38fbd492991dadaa91a6644e54c2d6e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2014-09-08T15:40:02Z",
    "title_canon_sha256": "307558725e0fa495dfe65c049a78d6531010871cb26ec6531ee955f24d86270e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2400",
    "kind": "arxiv",
    "version": 1
  }
}