Pith Number

pith:DEOUKQBX

pith:2026:DEOUKQBX5W2QZF674G5XHJEMKD

not attested not anchored not stored refs pending

Boundary Free Energies in Disordered Ising Models

Hexiang Wang, Keheng Zhu, Mauris Chueng

arxiv:2607.18326 v1 · 2026-07-18 · 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{DEOUKQBX5W2QZF674G5XHJEMKD}

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	2026-07-22T00:22:41.818097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

191d454037edb50c97dfe1bb73a48c50d5aba6a82dedff1df21a1c55230d0ec3

Aliases

arxiv: 2607.18326 · arxiv_version: 2607.18326v1 · doi: 10.48550/arxiv.2607.18326 · pith_short_12: DEOUKQBX5W2Q · pith_short_16: DEOUKQBX5W2QZF67 · pith_short_8: DEOUKQBX

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/DEOUKQBX5W2QZF674G5XHJEMKD \
  | 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: 191d454037edb50c97dfe1bb73a48c50d5aba6a82dedff1df21a1c55230d0ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e836d7a3a53f5edd9959d1217461029cbe69dfe26dc29af348fe669087b2445",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-18T11:25:56Z",
    "title_canon_sha256": "dd2e8b88523203b46974b6e0144da7d507d880d4c2873f46b3da30bde37d814d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18326",
    "kind": "arxiv",
    "version": 1
  }
}