Pith Number

pith:XD37AMJT

pith:2013:XD37AMJTQWRWVIVGCKTQX56HKX

not attested not anchored not stored refs pending

Spectral optimization problems for potentials and measures

Bozhidar Velichkov, Dorin Bucur, Giuseppe Buttazzo

arxiv:1310.1568 v1 · 2013-10-06 · math.OC · 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{XD37AMJTQWRWVIVGCKTQX56HKX}

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	2026-05-18T03:11:11.494987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f7f0313385a36aa2a612a70bf7c755f2381d1ce05e1b438851eb4d45a2fb4f

Aliases

arxiv: 1310.1568 · arxiv_version: 1310.1568v1 · doi: 10.48550/arxiv.1310.1568 · pith_short_12: XD37AMJTQWRW · pith_short_16: XD37AMJTQWRWVIVG · pith_short_8: XD37AMJT

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/XD37AMJTQWRWVIVGCKTQX56HKX \
  | 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: b8f7f0313385a36aa2a612a70bf7c755f2381d1ce05e1b438851eb4d45a2fb4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84cd3b4873bc7aedba894a9d482bfa3807bc050c5e729d3a1e486b0a5f3e43d8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-10-06T10:04:49Z",
    "title_canon_sha256": "42f712cfea762a3579a876c9d57e02872a179cc31531e9571a8ce9baa61adc17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1568",
    "kind": "arxiv",
    "version": 1
  }
}