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Pith Number

pith:D3U6O5UV

pith:2014:D3U6O5UVM3I5C3VMEZCOTPU6E7
not attested not anchored not stored refs pending

Discontinuous order parameters in liquid crystal theories

J. M. Ball, S. J. Bedford

arxiv:1411.3264 v2 · 2014-11-12 · math.AP · cond-mat.soft

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D3U6O5UVM3I5C3VMEZCOTPU6E7}

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 2026-05-18T02:32:45.637241Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1ee9e7769566d1d16eac2644e9be9e27e298b3981122b10ee38f301a3ff45bd9

Aliases

arxiv: 1411.3264 · arxiv_version: 1411.3264v2 · doi: 10.48550/arxiv.1411.3264 · pith_short_12: D3U6O5UVM3I5 · pith_short_16: D3U6O5UVM3I5C3VM · pith_short_8: D3U6O5UV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D3U6O5UVM3I5C3VMEZCOTPU6E7 \
  | 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: 1ee9e7769566d1d16eac2644e9be9e27e298b3981122b10ee38f301a3ff45bd9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "125152a1f836dc21502d4dafbd6de84b358ba1b7bae6b3f2a82c79d1ea495194",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-12T18:10:15Z",
    "title_canon_sha256": "f6c9db5af3baeec7066b42c3b0c6e1f68d300a9e24cc2c465bc2e171fcf35d3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3264",
    "kind": "arxiv",
    "version": 2
  }
}