Pith Number

pith:5KNBL36F

pith:2013:5KNBL36FRBNCFODXMJKYBT47J6

not attested not anchored not stored refs pending

Exact high temperature expansion of the one-loop thermodynamic potential with complex chemical potential

Bruno Klajn

arxiv:1311.2512 v2 · 2013-11-11 · hep-ph · hep-lat · hep-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{5KNBL36FRBNCFODXMJKYBT47J6}

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	2026-05-18T02:59:20.530227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9a15efc5885a22b877625580cf9f4fbb8d7220c636f6dd20c47c3f78e05ad6

Aliases

arxiv: 1311.2512 · arxiv_version: 1311.2512v2 · doi: 10.48550/arxiv.1311.2512 · pith_short_12: 5KNBL36FRBNC · pith_short_16: 5KNBL36FRBNCFODX · pith_short_8: 5KNBL36F

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/5KNBL36FRBNCFODXMJKYBT47J6 \
  | 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: ea9a15efc5885a22b877625580cf9f4fbb8d7220c636f6dd20c47c3f78e05ad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a55ffe639cc6063383a2b030036b9bdabd1766fc43b87fafcdda96264d219d78",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-11-11T17:48:00Z",
    "title_canon_sha256": "a18fac3fd60a9bb6d6bdcafdbe7f599f5f96398c354df2e611fa2e14846a84ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2512",
    "kind": "arxiv",
    "version": 2
  }
}