Pith Number

pith:CJT7YHJ3

pith:2015:CJT7YHJ3FO4LERUMFXTUBQ7UN3

not attested not anchored not stored refs pending

Functional Renormalization Group Study of the Chiral Phase Transition Including Vector and Axial-vector Mesons

Dirk H. Rischke, J\"urgen Eser, Mara Grahl

arxiv:1508.06928 v1 · 2015-08-27 · hep-ph · 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{CJT7YHJ3FO4LERUMFXTUBQ7UN3}

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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	2026-05-18T01:25:31.391215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1267fc1d3b2bb8b2468c2de740c3f46ec766e34fa3c40bbb8866aaeec8df61e9

Aliases

arxiv: 1508.06928 · arxiv_version: 1508.06928v1 · doi: 10.48550/arxiv.1508.06928 · pith_short_12: CJT7YHJ3FO4L · pith_short_16: CJT7YHJ3FO4LERUM · pith_short_8: CJT7YHJ3

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/CJT7YHJ3FO4LERUMFXTUBQ7UN3 \
  | 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: 1267fc1d3b2bb8b2468c2de740c3f46ec766e34fa3c40bbb8866aaeec8df61e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9d11c21c9fcee01834530dba146387c3fd76d753b46f5989601f83ec67d6c8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-08-27T16:29:12Z",
    "title_canon_sha256": "dd34c31589c0bcbbb65e2643851990a435cdbfc0ee4b85e65b58507e3477820e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06928",
    "kind": "arxiv",
    "version": 1
  }
}