Pith Number

pith:OPAGEJQZ

pith:2016:OPAGEJQZJ56DXSWHBSD4BGKVVB

not attested not anchored not stored refs pending

The Kato--Temple inequality and eigenvalue concentration with applications to graph inference

Carey E. Priebe, Joshua Cape, Minh Tang

arxiv:1603.06100 v3 · 2016-03-19 · math.ST · math.PR · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPAGEJQZJ56DXSWHBSD4BGKVVB}

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	2026-05-18T00:05:51.609269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c06226194f7c3bcac70c87c09955a8523bfc66d6b2cd2fe06eb257a3a73418

Aliases

arxiv: 1603.06100 · arxiv_version: 1603.06100v3 · doi: 10.48550/arxiv.1603.06100 · pith_short_12: OPAGEJQZJ56D · pith_short_16: OPAGEJQZJ56DXSWH · pith_short_8: OPAGEJQZ

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/OPAGEJQZJ56DXSWHBSD4BGKVVB \
  | 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: 73c06226194f7c3bcac70c87c09955a8523bfc66d6b2cd2fe06eb257a3a73418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b645de43fe18f13f942f3d8d9ea296f6b1498e03c6c0612b44a0ed0415b83fd7",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-03-19T15:05:28Z",
    "title_canon_sha256": "08ff5b1d8b61e52301a654464a3da0948e151b2d1c1e01542988c1bbb1516f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06100",
    "kind": "arxiv",
    "version": 3
  }
}