Pith Number

pith:HZS6AYCB

pith:2012:HZS6AYCBZPCOTKF3BGCATGWY7E

not attested not anchored not stored refs pending

The Gamma-limit of the two-dimensional Ohta-Kawasaki energy. II. Droplet arrangement at the sharp interface level via the renormalized energy

Cyrill B. Muratov, Dorian Goldman, Sylvia Serfaty

arxiv:1210.5098 v1 · 2012-10-18 · math.AP · math-ph · 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{HZS6AYCBZPCOTKF3BGCATGWY7E}

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	2026-05-18T03:42:54.279824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e65e06041cbc4e9a8bb0984099ad8f917dd625f1d9040d1a065232986f40dde

Aliases

arxiv: 1210.5098 · arxiv_version: 1210.5098v1 · doi: 10.48550/arxiv.1210.5098 · pith_short_12: HZS6AYCBZPCO · pith_short_16: HZS6AYCBZPCOTKF3 · pith_short_8: HZS6AYCB

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/HZS6AYCBZPCOTKF3BGCATGWY7E \
  | 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: 3e65e06041cbc4e9a8bb0984099ad8f917dd625f1d9040d1a065232986f40dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85c65c50dd54d449422d923154e97bfaa3caeaefc59db2b6a4608355e1bd5941",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-18T11:34:55Z",
    "title_canon_sha256": "1954ec61ea28529c30af7eb6dee50324d57c06e48c147b4306f9901a9979dcac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5098",
    "kind": "arxiv",
    "version": 1
  }
}