Pith Number

pith:MEV2JD6D

pith:2026:MEV2JD6DNSOUTA7GF2DND22552

not attested not anchored not stored refs pending

Log-Sobolev Inequality for Wolff Dynamics and Application to the Condensation of Eigen Microstate in the 1D Ising Model

Fuzhou Gong, Kaiyuan Cui

arxiv:2605.29608 v1 · 2026-05-28 · 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{MEV2JD6DNSOUTA7GF2DND22552}

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	2026-05-29T01:05:50.768381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

612ba48fc36c9d4983e62e86d1eb5dee8f1ecc2da6a36b115e7a752f48598142

Aliases

arxiv: 2605.29608 · arxiv_version: 2605.29608v1 · doi: 10.48550/arxiv.2605.29608 · pith_short_12: MEV2JD6DNSOU · pith_short_16: MEV2JD6DNSOUTA7G · pith_short_8: MEV2JD6D

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/MEV2JD6DNSOUTA7GF2DND22552 \
  | 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: 612ba48fc36c9d4983e62e86d1eb5dee8f1ecc2da6a36b115e7a752f48598142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b71a79f883fff16a5937e40d2f1abb6004c3c1731dc02ac62824f3ecccdc9da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-28T08:43:11Z",
    "title_canon_sha256": "1c604c0d02332940004a24344043ec56419bae1de3f036264bc1692c3833c3b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29608",
    "kind": "arxiv",
    "version": 1
  }
}