Pith Number

pith:UM36IVI4

pith:2017:UM36IVI4RU5PETWZIWSRJWA5BE

not attested not anchored not stored refs pending

Multi-critical $\square^k$ scalar theories: A perturbative RG approach with $\epsilon$-expansion

Gian Paolo Vacca, Mahmoud Safari

arxiv:1708.09795 v2 · 2017-08-31 · hep-th · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UM36IVI4RU5PETWZIWSRJWA5BE}

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

Boundary anomalous dimensions from BCFT: $\phi^{3}$ theories with a boundary and higher-derivative generalizations

Receipt and verification

First computed	2026-05-18T00:22:58.838217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a337e4551c8d3af24ed945a514d81d090694f4a0ec6c0f5796587e40b4fa6f16

Aliases

arxiv: 1708.09795 · arxiv_version: 1708.09795v2 · doi: 10.48550/arxiv.1708.09795 · pith_short_12: UM36IVI4RU5P · pith_short_16: UM36IVI4RU5PETWZ · pith_short_8: UM36IVI4

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/UM36IVI4RU5PETWZIWSRJWA5BE \
  | 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: a337e4551c8d3af24ed945a514d81d090694f4a0ec6c0f5796587e40b4fa6f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38f71021fdc9556f9421818ae453a67b262dd78c5543fbfbc8359db907381669",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-08-31T16:18:01Z",
    "title_canon_sha256": "5ec3d886c8e8924b7c94240a321beede4f241b04e2a4283bb1aa32860a2996be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09795",
    "kind": "arxiv",
    "version": 2
  }
}