Pith Number

pith:ONP7HZTY

pith:2026:ONP7HZTY4XIVOEOTBHOMSM5FAW

not attested not anchored not stored refs pending

An edge-bicolored graph approach to the Ising model on random regular graphs

Maximilian Wiesmann, Michael Borinsky, Shiyue Ren

arxiv:2607.07867 v1 · 2026-07-08 · math-ph · cond-mat.stat-mech · math.CO · 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{ONP7HZTY4XIVOEOTBHOMSM5FAW}

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	2026-07-10T00:19:03.361235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

735ff3e678e5d15711d309dcc933a5058f80aa98db2703c1f105019bcb3ee668

Aliases

arxiv: 2607.07867 · arxiv_version: 2607.07867v1 · doi: 10.48550/arxiv.2607.07867 · pith_short_12: ONP7HZTY4XIV · pith_short_16: ONP7HZTY4XIVOEOT · pith_short_8: ONP7HZTY

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/ONP7HZTY4XIVOEOTBHOMSM5FAW \
  | 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: 735ff3e678e5d15711d309dcc933a5058f80aa98db2703c1f105019bcb3ee668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12e61dc798f999b9edc34021fa543b4fd87ab255252899a07294a8544c70d1b5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-08T19:07:22Z",
    "title_canon_sha256": "c0a4a9e2d025f29992149f39be59db8af18e15d41eed577c799e306ff152e63e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07867",
    "kind": "arxiv",
    "version": 1
  }
}