Pith Number

pith:NPYQ6HAJ

pith:2026:NPYQ6HAJBAW5LPAOMNG37TRSZI

not attested not anchored not stored refs pending

Hard thermal contributions to phase transition observables at NNLO

Fabio Bernardo, Luis Gil, Mikael Chala, Philipp Schicho

arxiv:2602.06962 v2 · 2026-02-06 · hep-ph · hep-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{NPYQ6HAJBAW5LPAOMNG37TRSZI}

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.

Cited by

7 papers in Pith

Polyakov Loops Tame Phase Transitions

A critical look at low-scale cosmological phase transitions in the PTA era

Higher-dimensional operators and Polyakov loop in hot Scalar QED from the heat kernel

Matching higher-dimensional operators at finite temperature for general models

Matchotter: An Automated Tool for Dimensional Reduction at Finite Temperature

Receipt and verification

First computed	2026-07-08T01:19:10.249263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bf10f1c09082dd5bc0e634dbfce32ca184ae303cebb5ed44b69d6e2f7fe5776

Aliases

arxiv: 2602.06962 · arxiv_version: 2602.06962v2 · doi: 10.48550/arxiv.2602.06962 · pith_short_12: NPYQ6HAJBAW5 · pith_short_16: NPYQ6HAJBAW5LPAO · pith_short_8: NPYQ6HAJ

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/NPYQ6HAJBAW5LPAOMNG37TRSZI \
  | 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: 6bf10f1c09082dd5bc0e634dbfce32ca184ae303cebb5ed44b69d6e2f7fe5776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b2ed55f94e339039d20f2b52d2cc9e5e53176466ceb4792de4f3772a051416a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-02-06T18:59:46Z",
    "title_canon_sha256": "e2da62fab6614644af7b952c9206dafd240b101a19e830a797e540b3315e112a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.06962",
    "kind": "arxiv",
    "version": 2
  }
}