Pith Number

pith:5OMDTUM5

pith:2013:5OMDTUM5ASYO3WXO332ZRMFWGZ

not attested not anchored not stored refs pending

Thermodynamics and phase transition of the O(N) model from the two-loop Phi-derivable approximation

Gergely Mark\'o, Urko Reinosa, Zsolt Sz\'ep

arxiv:1303.0230 v2 · 2013-03-01 · 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{5OMDTUM5ASYO3WXO332ZRMFWGZ}

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	2026-05-18T03:22:05.385268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb9839d19d04b0eddaeedef598b0b6367c78d5be96512edde6d6133a31093acf

Aliases

arxiv: 1303.0230 · arxiv_version: 1303.0230v2 · doi: 10.48550/arxiv.1303.0230 · pith_short_12: 5OMDTUM5ASYO · pith_short_16: 5OMDTUM5ASYO3WXO · pith_short_8: 5OMDTUM5

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/5OMDTUM5ASYO3WXO332ZRMFWGZ \
  | 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: eb9839d19d04b0eddaeedef598b0b6367c78d5be96512edde6d6133a31093acf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cdb7b3d4478b542a5acb8e5f0a45fff1a594351757134543cc3ec8fa4ae85cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-03-01T17:38:37Z",
    "title_canon_sha256": "885ef517f6067f8989271062e813985ec060afbbc10eef883deca64d37a67e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0230",
    "kind": "arxiv",
    "version": 2
  }
}