Pith Number

pith:QGRAL2XL

pith:2013:QGRAL2XLIVPRJS6JLBQUOWU3T7

not attested not anchored not stored refs pending

Generating true minima in constrained variational formulations via modified Lagrange multipliers

Francisco J. Solis, Monica Olvera de la Cruz, Vikram Jadhao

arxiv:1309.7089 v1 · 2013-09-26 · cond-mat.soft · math-ph · math.MP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGRAL2XLIVPRJS6JLBQUOWU3T7}

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	2026-05-18T02:42:52.656038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a205eaeb455f14cbc95861475a9b9fc59f1e7c2f7e90b77b649ba73659bdd4

Aliases

arxiv: 1309.7089 · arxiv_version: 1309.7089v1 · doi: 10.48550/arxiv.1309.7089 · pith_short_12: QGRAL2XLIVPR · pith_short_16: QGRAL2XLIVPRJS6J · pith_short_8: QGRAL2XL

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/QGRAL2XLIVPRJS6JLBQUOWU3T7 \
  | 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: 81a205eaeb455f14cbc95861475a9b9fc59f1e7c2f7e90b77b649ba73659bdd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2645fb6e5b9f4ab5322f70ba0824994d99191f7d02f12f4d5cd64a7056e4cb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2013-09-26T23:48:15Z",
    "title_canon_sha256": "3df1324ea075bce9a5b17cc12a8555627e032d7c511c3f82c169291f2d2e8ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7089",
    "kind": "arxiv",
    "version": 1
  }
}