Pith Number

pith:4OH3KDCO

pith:2024:4OH3KDCOTFYSEW4WWKGCCRGPVO

not attested not anchored not stored refs pending

The geometric size of the fundamental gap

Dorin Bucur, Ilaria Fragal\`a, Vincenzo Amato

arxiv:2407.01341 v2 · 2024-07-01 · math.SP · 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{4OH3KDCOTFYSEW4WWKGCCRGPVO}

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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.

Cited by

2 papers in Pith

Quantitative Kr\"{o}ger inequalities for Neumann eigenvalues of convex domains

The Makai inequality in higher dimensions: qualitative and quantitative aspects

Receipt and verification

First computed	2026-07-05T10:33:35.115619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38fb50c4e9971225b96b28c2144cfab8d1b0f5fa27c7f0bba15de23fc2e3977

Aliases

arxiv: 2407.01341 · arxiv_version: 2407.01341v2 · doi: 10.48550/arxiv.2407.01341 · pith_short_12: 4OH3KDCOTFYS · pith_short_16: 4OH3KDCOTFYSEW4W · pith_short_8: 4OH3KDCO

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/4OH3KDCOTFYSEW4WWKGCCRGPVO \
  | 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: e38fb50c4e9971225b96b28c2144cfab8d1b0f5fa27c7f0bba15de23fc2e3977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afe80b8c51cc88547bea0ef0b974a00ccf2966663e9668aa7d038301ba290ad3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-07-01T14:49:59Z",
    "title_canon_sha256": "ab7007c0f59ac8ce53f17548053de2a73f4840192da0e5fe0f410d95d8674244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.01341",
    "kind": "arxiv",
    "version": 2
  }
}