Pith. sign in
Pith Number

pith:4AXZNKQE

pith:2023:4AXZNKQEKEUC2JKGMCP73RTNQA
not attested not anchored not stored refs pending

Integrating by parts at finite density

Aleksi Vuorinen, Juuso \"Osterman, Philipp Schicho

arxiv:2304.05427 v3 · 2023-04-11 · hep-ph · hep-th · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4AXZNKQEKEUC2JKGMCP73RTNQA}

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 2026-07-05T06:48:48.259040Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e02f96aa0451282d2546609ffdc66d8008a33b21e4d493f0e9fe6a78e5eaf374

Aliases

arxiv: 2304.05427 · arxiv_version: 2304.05427v3 · doi: 10.48550/arxiv.2304.05427 · pith_short_12: 4AXZNKQEKEUC · pith_short_16: 4AXZNKQEKEUC2JKG · pith_short_8: 4AXZNKQE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4AXZNKQEKEUC2JKGMCP73RTNQA \
  | 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: e02f96aa0451282d2546609ffdc66d8008a33b21e4d493f0e9fe6a78e5eaf374
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "aa9468668e82d9b900227fef963eeb3fa18ffca25989ba82a5e2b4bc14126c7c",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-04-11T18:01:11Z",
    "title_canon_sha256": "ae681a849ec3364de4e5b56b503a0d340df22dabbc6fc7dc0647b09bcdf1b939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.05427",
    "kind": "arxiv",
    "version": 3
  }
}