Pith Number

pith:VGRZHPER

pith:2026:VGRZHPERKH7URSVRFEOMEDP6DG

not attested not anchored not stored refs pending

Bounds on Spectral Gaps for Non-Reversible Markov Chains with Applications to Temporal Difference Learning

Andrew Lamperski

arxiv:2606.07839 v1 · 2026-06-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGRZHPERKH7URSVRFEOMEDP6DG}

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	2026-06-09T01:04:53.465676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a393bc9151ff48cab1291cc20dfe19a76acce35533b190df5bf214762cd836

Aliases

arxiv: 2606.07839 · arxiv_version: 2606.07839v1 · doi: 10.48550/arxiv.2606.07839 · pith_short_12: VGRZHPERKH7U · pith_short_16: VGRZHPERKH7URSVR · pith_short_8: VGRZHPER

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/VGRZHPERKH7URSVRFEOMEDP6DG \
  | 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: a9a393bc9151ff48cab1291cc20dfe19a76acce35533b190df5bf214762cd836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00f940a399b26fc806017094340c84b170ec8fe5e21be9328d01ede4fef97691",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-05T20:58:42Z",
    "title_canon_sha256": "b118f0155dc07b46f155e686c4ec787eaa5b370a548451358e237b22554d78c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07839",
    "kind": "arxiv",
    "version": 1
  }
}