Pith Number

pith:GLJQTOIW

pith:2016:GLJQTOIWCIZSP76RVNS67K5MQZ

not attested not anchored not stored refs pending

Renormalization group functions of $\phi^4$ theory in the MS-scheme to six loops

Erik Panzer, Mikhail Kompaniets

arxiv:1606.09210 v1 · 2016-06-29 · hep-th · cond-mat.stat-mech

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\usepackage{pith}
\pithnumber{GLJQTOIWCIZSP76RVNS67K5MQZ}

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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.

Cited by

1 paper in Pith

Four-loop Anomalous Dimensions of Scalar-QED Theory from Operator Product Expansion

Receipt and verification

First computed	2026-05-18T00:53:02.446925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d309b916123327ffd1ab65efabac8675495ea10810800f18d5941b1b62776b

Aliases

arxiv: 1606.09210 · arxiv_version: 1606.09210v1 · doi: 10.48550/arxiv.1606.09210 · pith_short_12: GLJQTOIWCIZS · pith_short_16: GLJQTOIWCIZSP76R · pith_short_8: GLJQTOIW

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/GLJQTOIWCIZSP76RVNS67K5MQZ \
  | 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: 32d309b916123327ffd1ab65efabac8675495ea10810800f18d5941b1b62776b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d335e6da698f1d5d18938f7d69fddac76f40cc7e1808f35173cbe3b49b223b6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-06-29T18:34:48Z",
    "title_canon_sha256": "16757ba2107b35e721046fdc48f8229313622308cd81598a3ebaf15f094d4d4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09210",
    "kind": "arxiv",
    "version": 1
  }
}