Pith Number

pith:Q4SN54SK

pith:2025:Q4SN54SKV65U6HCZJNKQW45S42

not attested not anchored not stored refs pending

Theoretical Signatures of QCD Phase Transitions in Compact Astrophysical Systems

Debarshi Mukherjee

arxiv:2509.10589 v2 · 2025-09-12 · nucl-th · astro-ph.HE · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4SN54SKV65U6HCZJNKQW45S42}

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	2026-05-26T02:05:02.009372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8724def24aafbb4f1c594b550b73b2e6a47935618231fcdeb69202a08b1a717d

Aliases

arxiv: 2509.10589 · arxiv_version: 2509.10589v2 · doi: 10.48550/arxiv.2509.10589 · pith_short_12: Q4SN54SKV65U · pith_short_16: Q4SN54SKV65U6HCZ · pith_short_8: Q4SN54SK

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/Q4SN54SKV65U6HCZJNKQW45S42 \
  | 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: 8724def24aafbb4f1c594b550b73b2e6a47935618231fcdeb69202a08b1a717d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f8e0b091647ae632473e623949c65d05d6a9a6feef47ae6a57ee6d304910772",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-lat"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2025-09-12T10:22:34Z",
    "title_canon_sha256": "18931ea0a13c8130b5616bc6036e235128a3e4549b059f2003eda7f94a626207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10589",
    "kind": "arxiv",
    "version": 2
  }
}