Pith Number

pith:5O7RGHYJ

pith:2000:5O7RGHYJSYA57XUQKBIFPQF3W3

not attested not anchored not stored refs pending

Screened Perturbation Theory to Three Loops

Eric Braaten, Jens O. Andersen, Michael Strickland

arxiv:hep-ph/0007159 v2 · 2000-07-14 · 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{5O7RGHYJSYA57XUQKBIFPQF3W3}

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

Quark and hybrid stars with renormalization group improvement of NNLO perturbative QCD

Scale dependence improvement of the quartic scalar field thermal effective potential in the optimized perturbation theory

Emergent chiral spin symmetry, non-perturbative dynamics and thermoparticles in hot QCD

Receipt and verification

First computed	2026-07-04T16:20:14.733949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebbf131f099601dfde90505057c0bbb6d8dfaa0aca6ddd6d6436b102d00423f7

Aliases

arxiv: hep-ph/0007159 · arxiv_version: hep-ph/0007159v2 · doi: 10.48550/arxiv.hep-ph/0007159 · pith_short_12: 5O7RGHYJSYA5 · pith_short_16: 5O7RGHYJSYA57XUQ · pith_short_8: 5O7RGHYJ

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/5O7RGHYJSYA57XUQKBIFPQF3W3 \
  | 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: ebbf131f099601dfde90505057c0bbb6d8dfaa0aca6ddd6d6436b102d00423f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80a737818c31ad9dfb9c20385f5556c3c96be540b07e2eefb0d079c156bfc00",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-07-14T22:16:55Z",
    "title_canon_sha256": "6e0c3f137fbe0df29cbbfa069a2a46b5ff8761b23c471987c87c3fa5f7798a1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0007159",
    "kind": "arxiv",
    "version": 2
  }
}