Pith Number

pith:5CEVPYAD

pith:2024:5CEVPYADIEEBVPL7JWAUJBOQCD

not attested not anchored not stored refs pending

Spectral sum rules and phase transition in strongly coupled QCD

Konrad Tywoniuk, Nan Su, Yi-lun Du

arxiv:2412.20165 v1 · 2024-12-28 · hep-th · hep-lat · hep-ph · 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{5CEVPYADIEEBVPL7JWAUJBOQCD}

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	2026-07-05T09:54:55.463367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e88957e00341081abd7f4d814485d010d3fd0eb867f7b2ced1491f4bf977ed8b

Aliases

arxiv: 2412.20165 · arxiv_version: 2412.20165v1 · doi: 10.48550/arxiv.2412.20165 · pith_short_12: 5CEVPYADIEEB · pith_short_16: 5CEVPYADIEEBVPL7 · pith_short_8: 5CEVPYAD

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/5CEVPYADIEEBVPL7JWAUJBOQCD \
  | 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: e88957e00341081abd7f4d814485d010d3fd0eb867f7b2ced1491f4bf977ed8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d47450af7eafa8b69ad330e4c8ba20b2aa15c96d1b7c68bed4a646cb913a7e9",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-12-28T14:32:40Z",
    "title_canon_sha256": "48e56ff378be0bb02c0361a134c544b10722a0c1b6f11e0d390cdd73bca263ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20165",
    "kind": "arxiv",
    "version": 1
  }
}