Pith Number

pith:EBZAXJRP

pith:2026:EBZAXJRP7X7RHF467ERDH73SWB

not attested not anchored not stored refs pending

Lee-Yang zeros and edge singularity in a mean-field approach

Gy\H{o}z\H{o} Kov\'acs, Masakiyo Kitazawa, Takahiro M. Doi, Tatsuya Wada

arxiv:2605.19964 v1 · 2026-05-19 · hep-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{EBZAXJRP7X7RHF467ERDH73SWB}

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	2026-05-20T02:05:57.327910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20720ba62ffdff13979ef92233ff72b0464d347c5f4b98ec3da01e19416d9618

Aliases

arxiv: 2605.19964 · arxiv_version: 2605.19964v1 · doi: 10.48550/arxiv.2605.19964 · pith_short_12: EBZAXJRP7X7R · pith_short_16: EBZAXJRP7X7RHF46 · pith_short_8: EBZAXJRP

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/EBZAXJRP7X7RHF467ERDH73SWB \
  | 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: 20720ba62ffdff13979ef92233ff72b0464d347c5f4b98ec3da01e19416d9618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14831b629c10213511a90cba009c19d3b89d5d79ba047dec568227c307576d47",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-19T15:15:07Z",
    "title_canon_sha256": "69ca1d2008f939da52eee62977e10b9c615b64b169fa2bb275d085d885cf08e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19964",
    "kind": "arxiv",
    "version": 1
  }
}