Pith Number

pith:JM3CDMW7

pith:2013:JM3CDMW7WVVNSMSGMWONLS7UWZ

not attested not anchored not stored refs pending

Ginzburg-Landau vortices, Coulomb Gases, and Renormalized Energies

Sylvia Serfaty

arxiv:1307.4623 v1 · 2013-07-17 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JM3CDMW7WVVNSMSGMWONLS7UWZ}

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	2026-05-18T01:48:43.459199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b3621b2dfb56ad93246659cd5cbf4b65beef9da2a94e055140f146f5b60c6c7

Aliases

arxiv: 1307.4623 · arxiv_version: 1307.4623v1 · doi: 10.48550/arxiv.1307.4623 · pith_short_12: JM3CDMW7WVVN · pith_short_16: JM3CDMW7WVVNSMSG · pith_short_8: JM3CDMW7

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/JM3CDMW7WVVNSMSGMWONLS7UWZ \
  | 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: 4b3621b2dfb56ad93246659cd5cbf4b65beef9da2a94e055140f146f5b60c6c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "683350413e91eb50375fe89f4313bd83d04d870093be326af9e65bdf9b191635",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-17T13:36:27Z",
    "title_canon_sha256": "29fb03e861b70a5e3f89a75215d10644779c7792ebdf5a42760a65c4ac899eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4623",
    "kind": "arxiv",
    "version": 1
  }
}