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Pith Number

pith:BWJYA6VZ

pith:2009:BWJYA6VZNPTU7ZWUZMG536I4IG
not attested not anchored not stored refs pending

The Dielectric Permittivity of Crystals in the reduced Hartree-Fock approximation

Eric Canc\`es (CERMICS, INRIA Rocquencourt), Mathieu Lewin (AGM)

arxiv:0903.1944 v1 · 2009-03-11 · math-ph · math.AP · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BWJYA6VZNPTU7ZWUZMG536I4IG}

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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 2026-05-18T02:14:35.976386Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0d93807ab96be74fe6d4cb0dddf91c41b39c139807c06e541d01162556b2e0fd

Aliases

arxiv: 0903.1944 · arxiv_version: 0903.1944v1 · doi: 10.48550/arxiv.0903.1944 · pith_short_12: BWJYA6VZNPTU · pith_short_16: BWJYA6VZNPTU7ZWU · pith_short_8: BWJYA6VZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BWJYA6VZNPTU7ZWUZMG536I4IG \
  | 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: 0d93807ab96be74fe6d4cb0dddf91c41b39c139807c06e541d01162556b2e0fd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "119cdee7c0ab61ce3d21badc9b42c4e0e0fc8aee8a2ab2ffdccb10dd4d57fc75",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-03-11T10:27:07Z",
    "title_canon_sha256": "3cfbca2a9ee3f3d39c3a5f874ab760d1942d2f427030a3696023fe833bfb190e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1944",
    "kind": "arxiv",
    "version": 1
  }
}