Pith Number

pith:GX4NS5HP

pith:2015:GX4NS5HPAU5LGBKCVSWBID7KM3

not attested not anchored not stored refs pending

Refined Eigenvalue Bounds on the Dirichlet Fractional Laplacian

Selma Yildirim Yolcu, Turkay Yolcu

arxiv:1501.01335 v1 · 2015-01-06 · 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{GX4NS5HPAU5LGBKCVSWBID7KM3}

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	2026-05-18T02:29:54.493483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35f8d974ef053ab30542acac140fea66e9cab809d2490f5a2ffd6514743d2d18

Aliases

arxiv: 1501.01335 · arxiv_version: 1501.01335v1 · doi: 10.48550/arxiv.1501.01335 · pith_short_12: GX4NS5HPAU5L · pith_short_16: GX4NS5HPAU5LGBKC · pith_short_8: GX4NS5HP

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/GX4NS5HPAU5LGBKCVSWBID7KM3 \
  | 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: 35f8d974ef053ab30542acac140fea66e9cab809d2490f5a2ffd6514743d2d18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "859fdd1c2f1256bc643a1c2e537223b1177457689239d126ac4c6b6d8067b2bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-06T23:24:36Z",
    "title_canon_sha256": "ef5d1186f552048d139d56576df4f70b86c0a8df1db133aadc7fd6c9dad88e3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01335",
    "kind": "arxiv",
    "version": 1
  }
}