Pith Number

pith:WEDH5LXF

pith:2026:WEDH5LXFFMDILWXW2Y5POGMJDL

not attested not anchored not stored refs pending

Self-Certifying Transport MCMC via Dual Spectral-Gap Certificates

Jun Hu

arxiv:2605.30722 v1 · 2026-05-29 · cs.LG · stat.CO · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WEDH5LXFFMDILWXW2Y5POGMJDL}

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	2026-06-01T01:03:12.273914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1067eaee52b0685daf6d63af719891adb9fd9c0315ca90800d58313f5b7446b

Aliases

arxiv: 2605.30722 · arxiv_version: 2605.30722v1 · doi: 10.48550/arxiv.2605.30722 · pith_short_12: WEDH5LXFFMDI · pith_short_16: WEDH5LXFFMDILWXW · pith_short_8: WEDH5LXF

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/WEDH5LXFFMDILWXW2Y5POGMJDL \
  | 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: b1067eaee52b0685daf6d63af719891adb9fd9c0315ca90800d58313f5b7446b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "288cdc899a23f6ba80110380cfcacc595aad001e243ca2f36f4fd3bf92bd0d47",
    "cross_cats_sorted": [
      "stat.CO",
      "stat.ME"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-29T01:31:56Z",
    "title_canon_sha256": "7573c193b3dea37269ed50ddc813725912854571c7ba556c0e2fbbdc5c87f176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30722",
    "kind": "arxiv",
    "version": 1
  }
}