Pith Number

pith:P2P6T24M

pith:2011:P2P6T24MMQU6BSPD6AQYD2NTZB

not attested not anchored not stored refs pending

The $\mathbf \Gamma$-limit of the two-dimensional Ohta-Kawasaki energy. I. Droplet density

Cyrill B. Muratov, Dorian Goldman, Sylvia Serfaty

arxiv:1201.0222 v2 · 2011-12-31 · math-ph · cond-mat.mtrl-sci · math.MP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2P6T24MMQU6BSPD6AQYD2NTZB}

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	2026-05-18T03:12:46.625758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e9fe9eb8c6429e0c9e3f02181e9b3c8442b46cd2d733eef91d485130120ed0c

Aliases

arxiv: 1201.0222 · arxiv_version: 1201.0222v2 · doi: 10.48550/arxiv.1201.0222 · pith_short_12: P2P6T24MMQU6 · pith_short_16: P2P6T24MMQU6BSPD · pith_short_8: P2P6T24M

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/P2P6T24MMQU6BSPD6AQYD2NTZB \
  | 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: 7e9fe9eb8c6429e0c9e3f02181e9b3c8442b46cd2d733eef91d485130120ed0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64409179b5b380cb705803ae506b86b3bcd1977cf87b211bbeb298a9b8a55a33",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-31T04:34:47Z",
    "title_canon_sha256": "63ec1095829d295d4a6216d546acf567ed85c82a1d6cd6058d50697e71d0cc81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0222",
    "kind": "arxiv",
    "version": 2
  }
}