Pith Number

pith:Q2OK6CX6

pith:2025:Q2OK6CX6AQ27SFNVESSDR742R3

not attested not anchored not stored refs pending

Lower bounds for trace estimation via Block Krylov and other methods

Shi Jie Yu

arxiv:2506.22701 v1 · 2025-06-28 · math.ST · cs.DS · cs.LG · cs.NA · math.NA · 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{Q2OK6CX6AQ27SFNVESSDR742R3}

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	2026-07-05T11:28:43.805036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

869caf0afe0435f915b524a438ff9a8ee3bd0216ab2fd65b2bc802cf7b0fb498

Aliases

arxiv: 2506.22701 · arxiv_version: 2506.22701v1 · doi: 10.48550/arxiv.2506.22701 · pith_short_12: Q2OK6CX6AQ27 · pith_short_16: Q2OK6CX6AQ27SFNV · pith_short_8: Q2OK6CX6

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/Q2OK6CX6AQ27SFNVESSDR742R3 \
  | 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: 869caf0afe0435f915b524a438ff9a8ee3bd0216ab2fd65b2bc802cf7b0fb498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80508c278ad356ae821edfd07a970ae3126d32e7f7ee2b605574a877378dac7",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LG",
      "cs.NA",
      "math.NA",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-06-28T00:41:39Z",
    "title_canon_sha256": "da92208900a234c34e8c764cb0f742c49df5c47ed8581abec9c6e44e8ea3832d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22701",
    "kind": "arxiv",
    "version": 1
  }
}