Pith Number

pith:CVO7QICY

pith:2013:CVO7QICYHUXTGN5CIOPNWMQPEW

not attested not anchored not stored refs pending

On the sharp effect of attaching a thin handle on the spectral rate of convergence

Laura Abatangelo, Susanna Terracini, Veronica Felli

arxiv:1307.7930 v1 · 2013-07-30 · 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{CVO7QICYHUXTGN5CIOPNWMQPEW}

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	2026-05-18T03:17:13.014080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

155df820583d2f3337a2439edb320f259627e3bcb238ae125b3392ceaed16428

Aliases

arxiv: 1307.7930 · arxiv_version: 1307.7930v1 · doi: 10.48550/arxiv.1307.7930 · pith_short_12: CVO7QICYHUXT · pith_short_16: CVO7QICYHUXTGN5C · pith_short_8: CVO7QICY

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/CVO7QICYHUXTGN5CIOPNWMQPEW \
  | 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: 155df820583d2f3337a2439edb320f259627e3bcb238ae125b3392ceaed16428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e83aa9ad99577916bb37b163e707a1cf37e21af40d241afc976faf1f32a709a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-30T11:58:50Z",
    "title_canon_sha256": "a80b291551c42202a78e118907e900bf3dad805bb094c15718e2d011b9ed2228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7930",
    "kind": "arxiv",
    "version": 1
  }
}