Pith Number

pith:WCOOSU6C

pith:2026:WCOOSU6C5EWSMA6UQLFEEYP376

not attested not anchored not stored refs pending

The $(2+1)$-dimensional Gross-Neveu-Yukawa model at finite temperature, density, and magnetic field within the Functional Renormalization Group

Dirk H. Rischke, Justin L.P. Mauldin

arxiv:2608.02280 v1 · 2026-08-03 · hep-ph · hep-th · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCOOSU6C5EWSMA6UQLFEEYP376}

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	2026-08-04T02:11:43.425378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b09ce953c2e92d2603d482ca4261fbff8b95f20e1948f2a2a39659eb5d157a40

Aliases

arxiv: 2608.02280 · arxiv_version: 2608.02280v1 · doi: 10.48550/arxiv.2608.02280 · pith_short_12: WCOOSU6C5EWS · pith_short_16: WCOOSU6C5EWSMA6U · pith_short_8: WCOOSU6C

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/WCOOSU6C5EWSMA6UQLFEEYP376 \
  | 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: b09ce953c2e92d2603d482ca4261fbff8b95f20e1948f2a2a39659eb5d157a40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04b3741ebcf52ba00a8ebd196e5b6bb0dbb83c978cb3c7f2234c8f950eadcb2a",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-08-03T14:14:36Z",
    "title_canon_sha256": "0c5c2c7b973eab40c0872f03261c0339ebad5fc04431611b6df3bd6a3207484e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02280",
    "kind": "arxiv",
    "version": 1
  }
}