Pith Number

pith:Q4O2HEQB

pith:2025:Q4O2HEQBRU3NE4RWB6NPVME5DP

not attested not anchored not stored refs pending

Massive parallelization of projection-based depths

David Bounie, Leonardo Leone, Pavlo Mozharovskyi

arxiv:2506.08262 v1 · 2025-06-09 · stat.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4O2HEQBRU3NE4RWB6NPVME5DP}

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	2026-07-05T11:18:47.147583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

871da392018d36d272360f9afab09d1be777db86e14a0616bf7a2462ab61dd0d

Aliases

arxiv: 2506.08262 · arxiv_version: 2506.08262v1 · doi: 10.48550/arxiv.2506.08262 · pith_short_12: Q4O2HEQBRU3N · pith_short_16: Q4O2HEQBRU3NE4RW · pith_short_8: Q4O2HEQB

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/Q4O2HEQBRU3NE4RWB6NPVME5DP \
  | 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: 871da392018d36d272360f9afab09d1be777db86e14a0616bf7a2462ab61dd0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3845eede59bbba996a1c98d15ddb4124f1aeb1fd2f37ee2ac387c980d928caba",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2025-06-09T21:56:33Z",
    "title_canon_sha256": "53235226e18713d9d63403b23f975b67aeaa5bcaba62b8129e527d8a8289a53e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08262",
    "kind": "arxiv",
    "version": 1
  }
}