Pith Number

pith:7KA7ENQZ

pith:2009:7KA7ENQZQCN3LDX4KFHAE3CKCQ

not attested not anchored not stored refs pending

Thermodynamics of QCD low-energy models and the derivative expansion of the effective action

Jens Braun

arxiv:0908.1543 v1 · 2009-08-11 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KA7ENQZQCN3LDX4KFHAE3CKCQ}

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.

Cited by

1 paper in Pith

Phase structure of quark matter and in-medium properties of mesons from Callan-Symanzik flows

Receipt and verification

First computed	2026-07-04T17:25:02.249159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa81f23619809bb58efc514e026c4a142e705196dc6203ce29c0b6de5d5032f1

Aliases

arxiv: 0908.1543 · arxiv_version: 0908.1543v1 · doi: 10.48550/arxiv.0908.1543 · pith_short_12: 7KA7ENQZQCN3 · pith_short_16: 7KA7ENQZQCN3LDX4 · pith_short_8: 7KA7ENQZ

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/7KA7ENQZQCN3LDX4KFHAE3CKCQ \
  | 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: fa81f23619809bb58efc514e026c4a142e705196dc6203ce29c0b6de5d5032f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe816606613d6c9c1c5f26613db5f7bd419b55b4c9c92029526b77c77c4b7b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-08-11T17:28:56Z",
    "title_canon_sha256": "00dda8f0a43d865c48e90347e2b0c5b38b5d745adbf1fd2b9eb72c01f074dba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1543",
    "kind": "arxiv",
    "version": 1
  }
}