Pith Number

pith:RDDYNKEK

pith:2026:RDDYNKEKZERLPGVO2SDLCWXRAY

not attested not anchored not stored refs pending

Quantum models with the Yang-Lee phase transition

Erick Arguello Cruz, Grigory Tarnopolsky

arxiv:2606.19732 v1 · 2026-06-18 · hep-th · cond-mat.stat-mech · cond-mat.str-el · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RDDYNKEKZERLPGVO2SDLCWXRAY}

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	2026-06-19T16:12:33.560931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88c786a88ac922b79aaed486b15af10601f8d712a2f2b763caf5a8446f9d819e

Aliases

arxiv: 2606.19732 · arxiv_version: 2606.19732v1 · doi: 10.48550/arxiv.2606.19732 · pith_short_12: RDDYNKEKZERL · pith_short_16: RDDYNKEKZERLPGVO · pith_short_8: RDDYNKEK

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/RDDYNKEKZERLPGVO2SDLCWXRAY \
  | 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: 88c786a88ac922b79aaed486b15af10601f8d712a2f2b763caf5a8446f9d819e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3111d9b28d6dcfaac5dbed751959f3cf78c220376942a78700b2f0bc982e4cb",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-18T02:56:38Z",
    "title_canon_sha256": "131cee8af25f23c3a980860ed9e7051702bc20c9a04610d91c776e9efe5e64c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19732",
    "kind": "arxiv",
    "version": 1
  }
}