Pith Number

pith:CEJPP7GK

pith:2014:CEJPP7GKNO3PP3MSGFHNHTPUCB

not attested not anchored not stored refs pending

Coulomb Gases and Ginzburg-Landau Vortices

Sylvia Serfaty

arxiv:1403.6860 v4 · 2014-03-26 · math-ph · math.AP · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEJPP7GKNO3PP3MSGFHNHTPUCB}

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	2026-05-18T01:36:36.110401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1112f7fcca6bb6f7ed92314ed3cdf410755015cef84f979544aa02138759e3b4

Aliases

arxiv: 1403.6860 · arxiv_version: 1403.6860v4 · doi: 10.48550/arxiv.1403.6860 · pith_short_12: CEJPP7GKNO3P · pith_short_16: CEJPP7GKNO3PP3MS · pith_short_8: CEJPP7GK

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/CEJPP7GKNO3PP3MSGFHNHTPUCB \
  | 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: 1112f7fcca6bb6f7ed92314ed3cdf410755015cef84f979544aa02138759e3b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83a5f678b6553767e1c9aabcb83cdd1bd098e5421bf9ba66ea938ba4da41056c",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-26T20:59:02Z",
    "title_canon_sha256": "eccd73c35164d21ec25300c9d42cf8a4b73189ab611d3cef5f25d72268e26a67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6860",
    "kind": "arxiv",
    "version": 4
  }
}