Pith Number

pith:B7CUS2JA

pith:2026:B7CUS2JA7I56MZUSZUXJK6K2BX

not attested not anchored not stored refs pending

Spectral recovery of a planted triangle-dense subgraph

Benjamin McKenna, Cheng Mao, Sam van der Poel

arxiv:2606.17604 v1 · 2026-06-16 · cs.DS · math.PR · math.ST · 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{B7CUS2JA7I56MZUSZUXJK6K2BX}

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	2026-06-19T16:10:17.098187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc5496920fa3be66692cd2e95795a0dd0c111318045d58c2b18e97c7aec88b6

Aliases

arxiv: 2606.17604 · arxiv_version: 2606.17604v1 · doi: 10.48550/arxiv.2606.17604 · pith_short_12: B7CUS2JA7I56 · pith_short_16: B7CUS2JA7I56MZUS · pith_short_8: B7CUS2JA

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/B7CUS2JA7I56MZUSZUXJK6K2BX \
  | 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: 0fc5496920fa3be66692cd2e95795a0dd0c111318045d58c2b18e97c7aec88b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63fae5e461efb177eb2018f37d42701cb5a16c0d64e5fc6a3e3376088ef9191c",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-16T07:10:57Z",
    "title_canon_sha256": "acb400eeb8c1540360983cc748637dfd2f130b2863af36c6b752e6180f0075ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17604",
    "kind": "arxiv",
    "version": 1
  }
}