Pith Number

pith:BCXNAJ7F

pith:2011:BCXNAJ7F3F2QQRX3GZJZHD2SPV

not attested not anchored not stored refs pending

Microscopic Derivation of Ginzburg-Landau Theory

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

arxiv:1102.4001 v1 · 2011-02-19 · math-ph · cond-mat.quant-gas · cond-mat.supr-con · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCXNAJ7F3F2QQRX3GZJZHD2SPV}

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	2026-05-18T03:55:00.519225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08aed027e5d9750846fb3653938f527d6176563eeadfa7bc933b8c1e4d416ff1

Aliases

arxiv: 1102.4001 · arxiv_version: 1102.4001v1 · doi: 10.48550/arxiv.1102.4001 · pith_short_12: BCXNAJ7F3F2Q · pith_short_16: BCXNAJ7F3F2QQRX3 · pith_short_8: BCXNAJ7F

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BCXNAJ7F3F2QQRX3GZJZHD2SPV \
  | 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: 08aed027e5d9750846fb3653938f527d6176563eeadfa7bc933b8c1e4d416ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e8f83577421722fc67152dde60fbc5259f8d7b4edefb726f42867ad3c7922e",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.supr-con",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-19T16:52:10Z",
    "title_canon_sha256": "b9e09520f8f7c71dad32c5cb1e81bb76e6171396ea26ac926f91f30eed740999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4001",
    "kind": "arxiv",
    "version": 1
  }
}