Pith Number

pith:MN3T4LOE

pith:2010:MN3T4LOE6JFDH5MUBJJVJ3OQV2

not attested not anchored not stored refs pending

Radially symmetric minimizers for a $p$-Ginzburg Landau type energy in $\R^2$

Dmitry Golovaty, Itai Shafrir, Leonid Berlyand, Yaniv Almog

arxiv:1011.2412 v2 · 2010-11-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MN3T4LOE6JFDH5MUBJJVJ3OQV2}

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	2026-05-18T04:32:11.397290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63773e2dc4f24a33f5940a5354edd0aead5b0f89fe0d3b6281ab975c81dd7f71

Aliases

arxiv: 1011.2412 · arxiv_version: 1011.2412v2 · doi: 10.48550/arxiv.1011.2412 · pith_short_12: MN3T4LOE6JFD · pith_short_16: MN3T4LOE6JFDH5MU · pith_short_8: MN3T4LOE

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/MN3T4LOE6JFDH5MUBJJVJ3OQV2 \
  | 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: 63773e2dc4f24a33f5940a5354edd0aead5b0f89fe0d3b6281ab975c81dd7f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94b8efb4a2732185a5fc9c2bb6e76ff98f7bb7d553ed223a86c86b3b873fa91a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-10T15:50:04Z",
    "title_canon_sha256": "b80eccb6104dae39e5daddc39df6887c677fc14121a6beb4b89f52464cb56b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2412",
    "kind": "arxiv",
    "version": 2
  }
}