Pith Number

pith:WJCVWMAS

pith:2026:WJCVWMAST7MY5UERHABA22YBQV

not attested not anchored not stored refs pending

The Non-parametric Equation of State Realizes a Generalized Quark-Hadron Crossover

Shao-Peng Tang, Yi-Zhong Fan, Yong-Jia Huang

Non-parametric equation of state construction reveals early stiffening followed by softening in massive neutron stars.

arxiv:2605.08584 v2 · 2026-05-09 · astro-ph.HE · gr-qc · 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{WJCVWMAST7MY5UERHABA22YBQV}

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.

Claims

C1strongest claim

By measuring the degree of this non-monotonic behavior in the posterior, we find evidence for a hadron-quark phase transition in the cores of the most massive neutron stars. This indicates that the non-perturbative quark matter is intrinsically soft, fundamentally distinguishing it from the stiff scenarios associated with the quark-star picture.

C2weakest assumption

The global thermodynamic constraint is driven by the observationally required stiffening to support two-solar-mass neutron stars with relatively small radii for low-mass neutron stars, combined with the requirement not to overshoot perturbative QCD energy-density bounds.

C3one line summary

Non-parametric EOS construction shows non-conformal behavior with evidence for soft quark matter and a hadron-quark phase transition in massive neutron star cores.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-05T00:13:46.873394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2455b30129fd98ed09138020d6b018571cc9186c2ad4eaf4c64c907c082a3d7

Aliases

arxiv: 2605.08584 · arxiv_version: 2605.08584v2 · doi: 10.48550/arxiv.2605.08584 · pith_short_12: WJCVWMAST7MY · pith_short_16: WJCVWMAST7MY5UER · pith_short_8: WJCVWMAS

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/WJCVWMAST7MY5UERHABA22YBQV \
  | 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: b2455b30129fd98ed09138020d6b018571cc9186c2ad4eaf4c64c907c082a3d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a04317272a117f32488d168e12ca47db55b9e842ac6489b4a7b02637fa819247",
    "cross_cats_sorted": [
      "gr-qc",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2026-05-09T01:00:23Z",
    "title_canon_sha256": "7d7e412a5a1fc0a8b34299758f3cb6e46286cde452f8e02b8fbfa6d73b05d9cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.08584",
    "kind": "arxiv",
    "version": 2
  }
}