Pith. sign in
Pith Number

pith:MW55UGUP

pith:2006:MW55UGUPQRP3OXQ4DLRDWJHRNE
not attested not anchored not stored refs pending

On Heavy-Quark Free Energies, Entropies, Polyakov Loop, and AdS/QCD

Oleg Andreev, Valentin I. Zakharov

arxiv:hep-ph/0611304 v2 · 2006-11-24 · hep-ph · hep-lat · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MW55UGUPQRP3OXQ4DLRDWJHRNE}

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 2026-07-04T17:20:48.701343Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

65bbda1a8f845fb75e1c1ae23b24f169197ef7720e16c2af8f61e979d5274435

Aliases

arxiv: hep-ph/0611304 · arxiv_version: hep-ph/0611304v2 · doi: 10.48550/arxiv.hep-ph/0611304 · pith_short_12: MW55UGUPQRP3 · pith_short_16: MW55UGUPQRP3OXQ4 · pith_short_8: MW55UGUP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MW55UGUPQRP3OXQ4DLRDWJHRNE \
  | 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: 65bbda1a8f845fb75e1c1ae23b24f169197ef7720e16c2af8f61e979d5274435
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "76ada88d7765a49c5a6b90894b9eeaf01bfa9454b504dcd5b541941449637195",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-11-24T12:57:21Z",
    "title_canon_sha256": "c00c5851fe53f174fa19dd96b9c2473a9a8a440311028cf61dca140b9d7b83f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0611304",
    "kind": "arxiv",
    "version": 2
  }
}