Pith Number

pith:W2QJJ6QG

pith:2010:W2QJJ6QG6DLNH2JFJFFY5PGPTO

not attested not anchored not stored refs pending

Improved Lower Bounds for Ginzburg-Landau Energies via Mass Displacement

Etienne Sandier, Sylvia Serfaty

arxiv:1011.4616 v1 · 2010-11-20 · 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{W2QJJ6QG6DLNH2JFJFFY5PGPTO}

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	2026-05-18T04:35:04.282909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6a094fa06f0d6d3e925494b8ebccf9ba1860802a7e7fa5553c8b421880f670e

Aliases

arxiv: 1011.4616 · arxiv_version: 1011.4616v1 · doi: 10.48550/arxiv.1011.4616 · pith_short_12: W2QJJ6QG6DLN · pith_short_16: W2QJJ6QG6DLNH2JF · pith_short_8: W2QJJ6QG

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/W2QJJ6QG6DLNH2JFJFFY5PGPTO \
  | 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: b6a094fa06f0d6d3e925494b8ebccf9ba1860802a7e7fa5553c8b421880f670e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1dfa2073a98e3925fef5852f27f82290b9780f53158d14248be6201fc6c52cf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-20T22:00:52Z",
    "title_canon_sha256": "0c00176ebcc6120f9fc533eaa9b288a9d89616cf69b83db79716c9948f808a34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4616",
    "kind": "arxiv",
    "version": 1
  }
}