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Pith Number

pith:VONF6KEK

pith:2014:VONF6KEK2SJU6TAJQCUJEPGH5X
not attested not anchored not stored refs pending

One dimensional zone center phonons in $O_{h}$ space group

Jian Li, Jiufeng J. Tu, Joseph L. Birman

arxiv:1403.0672 v1 · 2014-03-04 · cond-mat.mtrl-sci · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VONF6KEK2SJU6TAJQCUJEPGH5X}

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 2026-05-18T02:57:15.991478Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ab9a5f288ad4934f4c0980a8923cc7edf9e64a30884bb37c4f05ef82f7b94b6e

Aliases

arxiv: 1403.0672 · arxiv_version: 1403.0672v1 · doi: 10.48550/arxiv.1403.0672 · pith_short_12: VONF6KEK2SJU · pith_short_16: VONF6KEK2SJU6TAJ · pith_short_8: VONF6KEK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VONF6KEK2SJU6TAJQCUJEPGH5X \
  | 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: ab9a5f288ad4934f4c0980a8923cc7edf9e64a30884bb37c4f05ef82f7b94b6e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6e6874aba66b3f1f7541577d2b73dc7f0a7dc804a77548996b4a3f66d3d7c118",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2014-03-04T03:15:58Z",
    "title_canon_sha256": "8182a4f7c5fd10ac3730d4b69a846c934710c698de60b70611ed5e20387f2e87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0672",
    "kind": "arxiv",
    "version": 1
  }
}