Pith Number

pith:AZIJDVSO

pith:2011:AZIJDVSON7PHTMSXCAJCYXBVK3

not attested not anchored not stored refs pending

The ground state energy of the three dimensional Ginzburg-Landau functional. Part I: Bulk regime

A. Kachmar, S. Fournais

arxiv:1109.1287 v1 · 2011-09-06 · 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{AZIJDVSON7PHTMSXCAJCYXBVK3}

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	2026-05-18T04:13:56.052715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

065091d64e6fde79b25710122c5c3556e734beea27c41bf0c1b8eaa5d5d46197

Aliases

arxiv: 1109.1287 · arxiv_version: 1109.1287v1 · doi: 10.48550/arxiv.1109.1287 · pith_short_12: AZIJDVSON7PH · pith_short_16: AZIJDVSON7PHTMSX · pith_short_8: AZIJDVSO

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/AZIJDVSON7PHTMSXCAJCYXBVK3 \
  | 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: 065091d64e6fde79b25710122c5c3556e734beea27c41bf0c1b8eaa5d5d46197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2720cd05109832183ce8bca0f6990eefe25a2596da60457bc683d3892429318c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-06T20:03:00Z",
    "title_canon_sha256": "6a8bc50b8034cf21eb914748252610ae58545c507987af77d95fd08cf210815c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1287",
    "kind": "arxiv",
    "version": 1
  }
}