Pith Number

pith:NA7Y6QOU

pith:2012:NA7Y6QOUGSWU7362AHFW7UOCZY

not attested not anchored not stored refs pending

A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations

Luigi Provenzano, Pier Domenico Lamberti

arxiv:1205.5624 v3 · 2012-05-25 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NA7Y6QOUGSWU7362AHFW7UOCZY}

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	2026-05-18T03:01:22.363481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

683f8f41d434ad4fefda01cb6fd1c2ce107b9a696e3ce4fe43651f68cca3c9b8

Aliases

arxiv: 1205.5624 · arxiv_version: 1205.5624v3 · doi: 10.48550/arxiv.1205.5624 · pith_short_12: NA7Y6QOUGSWU · pith_short_16: NA7Y6QOUGSWU7362 · pith_short_8: NA7Y6QOU

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/NA7Y6QOUGSWU7362AHFW7UOCZY \
  | 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: 683f8f41d434ad4fefda01cb6fd1c2ce107b9a696e3ce4fe43651f68cca3c9b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65db1c56d1fa7d0ffc6ffa5fa35dfe62f3c554d2793cbce7a1361e8089bc3cba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-05-25T07:39:32Z",
    "title_canon_sha256": "ba615fdb8a86bca2b020ea8ebd0f7dc9b5d8ef737c43248aac6fdfc2a6d0d774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5624",
    "kind": "arxiv",
    "version": 3
  }
}