Pith Number

pith:XHTIOSPJ

pith:2026:XHTIOSPJE3K5LH5XRJ45EVBAMZ

not attested not anchored not stored refs pending

Lattice random-field Widom--Rowlinson models

Benedikt Jahnel, Christof K\"ulske, Daniel Kamecke

arxiv:2605.18744 v1 · 2026-05-18 · 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{XHTIOSPJE3K5LH5XRJ45EVBAMZ}

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	2026-05-20T00:06:18.718445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9e68749e926d5d59fb78a79d25420665aeb07cedf9156f7437caf170c6d182e

Aliases

arxiv: 2605.18744 · arxiv_version: 2605.18744v1 · doi: 10.48550/arxiv.2605.18744 · pith_short_12: XHTIOSPJE3K5 · pith_short_16: XHTIOSPJE3K5LH5X · pith_short_8: XHTIOSPJ

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/XHTIOSPJE3K5LH5XRJ45EVBAMZ \
  | 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: b9e68749e926d5d59fb78a79d25420665aeb07cedf9156f7437caf170c6d182e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1e4ce2c3f3e4cf4467dfb08b3aa8c997dc7c4eb5be99bdd43fab99e891abb1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-18T17:58:51Z",
    "title_canon_sha256": "789891b177aa3608a11721b8277289e3462653a36e7a61ab75022f8115613416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18744",
    "kind": "arxiv",
    "version": 1
  }
}