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Pith Number

pith:NFAUKVYK

pith:2012:NFAUKVYK3MRMT4MD3STXCRI345
not attested not anchored not stored refs pending

Microscopic Derivation of the Ginzburg-Landau Model

Christian Hainzl, Jan Philip Solovej, Robert Seiringer, Rupert L. Frank

arxiv:1209.1080 v2 · 2012-09-05 · math-ph · cond-mat.quant-gas · cond-mat.supr-con · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NFAUKVYK3MRMT4MD3STXCRI345}

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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 2026-05-18T01:32:08.672496Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

694145570adb22c9f183dca771451be753fcfb1acefd94c17d08b2702bd52e73

Aliases

arxiv: 1209.1080 · arxiv_version: 1209.1080v2 · doi: 10.48550/arxiv.1209.1080 · pith_short_12: NFAUKVYK3MRM · pith_short_16: NFAUKVYK3MRMT4MD · pith_short_8: NFAUKVYK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NFAUKVYK3MRMT4MD3STXCRI345 \
  | 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: 694145570adb22c9f183dca771451be753fcfb1acefd94c17d08b2702bd52e73
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "12d8aa27ca3fb18600af0a1af8fbde2ec91e0e9efbea935e0bcaa580b7f441f9",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.supr-con",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-05T19:35:01Z",
    "title_canon_sha256": "0318b8d717e6620e093ef229fbef280d0deaaac1eb109274f1e1b960fe708499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1080",
    "kind": "arxiv",
    "version": 2
  }
}