pith. sign in
Pith Number

pith:PKTXYHAJ

pith:2015:PKTXYHAJS4TFMWYAPGROF6EOY2
not attested not anchored not stored refs pending

Hydrodynamical Description of the QCD Dirac Spectrum at Finite Chemical Potential

Ismail Zahed, Piotr Warchol, Yizhuang Liu

arxiv:1507.05599 v2 · 2015-07-20 · hep-ph · hep-lat · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PKTXYHAJS4TFMWYAPGROF6EOY2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T01:23:57.727182Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7aa77c1c099726565b0079a2e2f88ec695bfa7f4034044726ccdae7a6e5bfdf4

Aliases

arxiv: 1507.05599 · arxiv_version: 1507.05599v2 · doi: 10.48550/arxiv.1507.05599 · pith_short_12: PKTXYHAJS4TF · pith_short_16: PKTXYHAJS4TFMWYA · pith_short_8: PKTXYHAJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PKTXYHAJS4TFMWYAPGROF6EOY2 \
  | 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: 7aa77c1c099726565b0079a2e2f88ec695bfa7f4034044726ccdae7a6e5bfdf4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8100d6a275116bc6485903c1c0ba1dca1717d086e66bf64e14a311f6b2474681",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-07-20T19:31:37Z",
    "title_canon_sha256": "d2e3118e478ccb1883b5e8f0c4abc3d2b3c2c9e6090d0c7ee473f6968daf6ff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05599",
    "kind": "arxiv",
    "version": 2
  }
}