Pith Number

pith:X26D7DVN

pith:2026:X26D7DVNUIRD4GDAVP7Q7VM5XH

not attested not anchored not stored refs pending

QCD Chiral Crossover Line from Lee-Yang Edge Singularities

Heng-Tong Ding, Kai-Fan Ye, Peter Petreczky, Swagato Mukherjee

arxiv:2608.05752 v1 · 2026-08-06 · hep-lat · hep-ph · nucl-ex · 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{X26D7DVNUIRD4GDAVP7Q7VM5XH}

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	2026-08-07T00:52:40.854025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bebc3f8eada2223e1860abff0fd59db9ea0c8c1ef0beeec726aeb6c94d67f159

Aliases

arxiv: 2608.05752 · arxiv_version: 2608.05752v1 · doi: 10.48550/arxiv.2608.05752 · pith_short_12: X26D7DVNUIRD · pith_short_16: X26D7DVNUIRD4GDA · pith_short_8: X26D7DVN

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/X26D7DVNUIRD4GDAVP7Q7VM5XH \
  | 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: bebc3f8eada2223e1860abff0fd59db9ea0c8c1ef0beeec726aeb6c94d67f159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "725688786890d250815a875315b27ba5621abe8d5fc4eb9a249f373e17fed24d",
    "cross_cats_sorted": [
      "hep-ph",
      "nucl-ex",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2026-08-06T08:37:17Z",
    "title_canon_sha256": "0157f6298b05f47954929191101442cc6b66c5bc54f604040c52ae7208a24e94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05752",
    "kind": "arxiv",
    "version": 1
  }
}