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Pith Number

pith:FIL4QXKD

pith:2014:FIL4QXKDZG6XVP4NRDX6MS6TZZ
not attested not anchored not stored refs pending

The Ginzburg-Landau functional with vanishing magnetic field

Ayman Kachmar, Bernard Helffer

arxiv:1407.0783 v1 · 2014-07-03 · math.AP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FIL4QXKDZG6XVP4NRDX6MS6TZZ}

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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 2026-05-18T02:23:27.021671Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2a17c85d43c9bd7abf8d88efe64bd3ce7b89389b9f4274dd7ae1b906142976a9

Aliases

arxiv: 1407.0783 · arxiv_version: 1407.0783v1 · doi: 10.48550/arxiv.1407.0783 · pith_short_12: FIL4QXKDZG6X · pith_short_16: FIL4QXKDZG6XVP4N · pith_short_8: FIL4QXKD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FIL4QXKDZG6XVP4NRDX6MS6TZZ \
  | 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: 2a17c85d43c9bd7abf8d88efe64bd3ce7b89389b9f4274dd7ae1b906142976a9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e04b64b9796efc9339aae7a1f13066efd18545485a3d40cb4388c519a898e566",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-03T04:49:29Z",
    "title_canon_sha256": "f52cccdd79996e422b0f011381cf2f2624644618171bc42f91f057d86ce0ae09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0783",
    "kind": "arxiv",
    "version": 1
  }
}