Pith Number

pith:5L3BAPKN

pith:2026:5L3BAPKNMSZYCJM7D26BBPKOAZ

not attested not anchored not stored refs pending

Absence of Spin-Glass Order on Migdal--Kadanoff Hierarchical Lattices near Three Dimensions

Manaka Okuyama, Masayuki Ohzeki

arxiv:2607.15676 v1 · 2026-07-17 · cond-mat.dis-nn · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5L3BAPKNMSZYCJM7D26BBPKOAZ}

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	2026-07-20T01:19:03.623484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf6103d4d64b381259f1ebc10bd4e0668fb1c69d507fb804957efed542d2c01

Aliases

arxiv: 2607.15676 · arxiv_version: 2607.15676v1 · doi: 10.48550/arxiv.2607.15676 · pith_short_12: 5L3BAPKNMSZY · pith_short_16: 5L3BAPKNMSZYCJM7 · pith_short_8: 5L3BAPKN

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/5L3BAPKNMSZYCJM7D26BBPKOAZ \
  | 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: eaf6103d4d64b381259f1ebc10bd4e0668fb1c69d507fb804957efed542d2c01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd0b2b09a7904447803cdd6a704b599df2fc826c166642dec5c322cfc154a4a1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-07-17T06:35:55Z",
    "title_canon_sha256": "181940a8a376cf75193764fbb7252d5c56edf95bd5b521002652765cf1c544c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15676",
    "kind": "arxiv",
    "version": 1
  }
}