Pith Number

pith:4FA7GLAF

pith:2000:4FA7GLAFOHXD4U44AX2Y4IBKUA

not attested not anchored not stored refs pending

Two-loop dimensional reduction and effective potential without temperature expansions

M. Laine, M. Losada

arxiv:hep-ph/0003111 v2 · 2000-03-13 · 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{4FA7GLAFOHXD4U44AX2Y4IBKUA}

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

An Effective Sphaleron Awakens

Receipt and verification

First computed	2026-07-04T16:20:04.001573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e141f32c0571ee3e539c05f58e202aa01c9148d21e60836eb03c925a4fa8407c

Aliases

arxiv: hep-ph/0003111 · arxiv_version: hep-ph/0003111v2 · doi: 10.48550/arxiv.hep-ph/0003111 · pith_short_12: 4FA7GLAFOHXD · pith_short_16: 4FA7GLAFOHXD4U44 · pith_short_8: 4FA7GLAF

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/4FA7GLAFOHXD4U44AX2Y4IBKUA \
  | 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: e141f32c0571ee3e539c05f58e202aa01c9148d21e60836eb03c925a4fa8407c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "337eb6531cd50e559941508008004e0c4f83f8e96ee59a677c610299d0a5d111",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-03-13T09:10:31Z",
    "title_canon_sha256": "3628b501b354bac9fe6b96936a77bd81042f791a51b0e43159a667ae3efc413a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0003111",
    "kind": "arxiv",
    "version": 2
  }
}