Pith Number

pith:2AVNC2B7

pith:2015:2AVNC2B7SHCUQUTZXQT5RVS2SO

not attested not anchored not stored refs pending

Convergence of Laplacian spectra from random samples

Zuoqiang Shi

arxiv:1507.00151 v1 · 2015-07-01 · cs.IT · math.IT · math.NA · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AVNC2B7SHCUQUTZXQT5RVS2SO}

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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

1 paper in Pith

Generalizable Spectral Embedding with an Application to UMAP

Receipt and verification

First computed	2026-05-18T01:37:30.391796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d02ad1683f91c5485279bc27d8d65a93a04f6ab5bb1e10b2636e878eba89ce7e

Aliases

arxiv: 1507.00151 · arxiv_version: 1507.00151v1 · doi: 10.48550/arxiv.1507.00151 · pith_short_12: 2AVNC2B7SHCU · pith_short_16: 2AVNC2B7SHCUQUTZ · pith_short_8: 2AVNC2B7

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/2AVNC2B7SHCUQUTZXQT5RVS2SO \
  | 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: d02ad1683f91c5485279bc27d8d65a93a04f6ab5bb1e10b2636e878eba89ce7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d5c97dd90d939c6eb29d1dfbd16500eaa690ec4839663744ae8100b5e8e52fb",
    "cross_cats_sorted": [
      "math.IT",
      "math.NA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-01T08:51:15Z",
    "title_canon_sha256": "7b0ca5631f0a35b33eca4e75076b8fc461b955cd12d054653ed238a6cd44ee11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00151",
    "kind": "arxiv",
    "version": 1
  }
}