Pith Number

pith:YF3WE2F6

pith:2026:YF3WE2F6MYLAB3BE2Z4HEDAT6L

not attested not anchored not stored refs pending

A Markov Chain Approach to Preference Alignment

Takuya Koriyama, Tengyuan Liang

arxiv:2606.22652 v1 · 2026-06-21 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YF3WE2F6MYLAB3BE2Z4HEDAT6L}

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	2026-06-23T02:13:44.009494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1776268be661600ec24d678720c13f2e46d10721d01e35272665a4901f8625f

Aliases

arxiv: 2606.22652 · arxiv_version: 2606.22652v1 · doi: 10.48550/arxiv.2606.22652 · pith_short_12: YF3WE2F6MYLA · pith_short_16: YF3WE2F6MYLAB3BE · pith_short_8: YF3WE2F6

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/YF3WE2F6MYLAB3BE2Z4HEDAT6L \
  | 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: c1776268be661600ec24d678720c13f2e46d10721d01e35272665a4901f8625f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a770920161e117d9739be56afbd63d8361854995175d7d14f436409034c638a8",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-21T19:56:56Z",
    "title_canon_sha256": "e469532c0745df46482ffa8467216d611d5479887559a4c92e75d9e82939b513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22652",
    "kind": "arxiv",
    "version": 1
  }
}