Pith Number

pith:GCZ57Z3M

pith:2021:GCZ57Z3MSTAX4HCEZXT7R4RGF5

not attested not anchored not stored refs pending

Six-loop beta functions in general scalar theory

Alexander Bednyakov, Andrey Pikelner

arxiv:2102.12832 v2 · 2021-02-25 · hep-ph · cond-mat.stat-mech · 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{GCZ57Z3MSTAX4HCEZXT7R4RGF5}

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

3 papers in Pith

$\phi^6$ at $6$ (and some $8$) loops in $3d$

Fluctuation-induced first-order superfluid transition in unitary $\mathrm{SU}(N)$ Fermi gases

$\phi^6$ at $6$ (and some $8$) loops in $3d$

Receipt and verification

First computed	2026-07-05T02:35:38.956956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b3dfe76c94c17e1c44cde7f8f2262f7cce97b8d04d98145f8da444db53df68

Aliases

arxiv: 2102.12832 · arxiv_version: 2102.12832v2 · doi: 10.48550/arxiv.2102.12832 · pith_short_12: GCZ57Z3MSTAX · pith_short_16: GCZ57Z3MSTAX4HCE · pith_short_8: GCZ57Z3M

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/GCZ57Z3MSTAX4HCEZXT7R4RGF5 \
  | 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: 30b3dfe76c94c17e1c44cde7f8f2262f7cce97b8d04d98145f8da444db53df68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c04ef581fd96a7e406f1e510ce4f1b6c7e6d7a3b02d574b4c23b8ce0bc5ad309",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-02-25T13:18:19Z",
    "title_canon_sha256": "5bf058b8bcbe5f7690b046752cb4dbf004dbaac815789918c2723921c103ba85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.12832",
    "kind": "arxiv",
    "version": 2
  }
}