Pith Number

pith:LEXTGYE4

pith:2025:LEXTGYE4X366D4E5LQE5SDYHBA

not attested not anchored not stored refs pending

Quark mass dependence of a QCD critical point and structure of the Columbia plot

Christian S. Fischer, Julian Bernhardt

arxiv:2507.21680 v2 · 2025-07-29 · hep-ph · 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{LEXTGYE4X366D4E5LQE5SDYHBA}

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	2026-07-05T11:48:51.986819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

592f33609cbefde1f09d5c09d90f0708056d674098bf721105100ca5ca87a220

Aliases

arxiv: 2507.21680 · arxiv_version: 2507.21680v2 · doi: 10.48550/arxiv.2507.21680 · pith_short_12: LEXTGYE4X366 · pith_short_16: LEXTGYE4X366D4E5 · pith_short_8: LEXTGYE4

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/LEXTGYE4X366D4E5LQE5SDYHBA \
  | 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: 592f33609cbefde1f09d5c09d90f0708056d674098bf721105100ca5ca87a220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a638763a173754544bd31afd0158badfa96cb9074e1f6a129fc2fb0b9d48ba4",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-07-29T10:49:55Z",
    "title_canon_sha256": "7b2fe1e26129f2fe1107a483d3442ad8c8596c78a770a9bbe9df010227714509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21680",
    "kind": "arxiv",
    "version": 2
  }
}