Pith Number

pith:YC6WPNTE

pith:2026:YC6WPNTENYARHMIBG5RACMUQIW

not attested not anchored not stored refs pending

Geometric bias in eigenspace perturbation under random heterogeneous noise

Fengkai Liu, Ke Wang, Wanjie Wang

arxiv:2606.11263 v1 · 2026-06-09 · math.ST · cs.LG · cs.NA · math.NA · 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{YC6WPNTENYARHMIBG5RACMUQIW}

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	2026-06-11T00:08:15.483417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0bd67b6646e0113b101376201329045a2eab743521cf7ea50d363268570570d

Aliases

arxiv: 2606.11263 · arxiv_version: 2606.11263v1 · doi: 10.48550/arxiv.2606.11263 · pith_short_12: YC6WPNTENYAR · pith_short_16: YC6WPNTENYARHMIB · pith_short_8: YC6WPNTE

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/YC6WPNTENYARHMIBG5RACMUQIW \
  | 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: c0bd67b6646e0113b101376201329045a2eab743521cf7ea50d363268570570d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e45c14183540f47d4595007763d1ce7dac8bacdb53799ec09841d4501797cc5",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-09T03:50:14Z",
    "title_canon_sha256": "cd4ac6c807b634357484063f6085ca1f95523de470114a8a9fc65d7a0f6a9762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11263",
    "kind": "arxiv",
    "version": 1
  }
}