Pith Number

pith:VIJRT57B

pith:2024:VIJRT57BA55BFLAQ54YFQB534C

not attested not anchored not stored refs pending

Four-loop two-mass tadpoles and the $\rho$ parameter

Andrew McLeod, Arnd Behring, Ben Page, Samuel Abreu

arxiv:2407.21700 v1 · 2024-07-31 · 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{VIJRT57BA55BFLAQ54YFQB534C}

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.

Receipt and verification

First computed	2026-07-05T08:50:42.602645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1319f7e1077a12ac10ef305807bbe095f07192c06ac7d8f6d8717773b13c79

Aliases

arxiv: 2407.21700 · arxiv_version: 2407.21700v1 · doi: 10.48550/arxiv.2407.21700 · pith_short_12: VIJRT57BA55B · pith_short_16: VIJRT57BA55BFLAQ · pith_short_8: VIJRT57B

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/VIJRT57BA55BFLAQ54YFQB534C \
  | 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: aa1319f7e1077a12ac10ef305807bbe095f07192c06ac7d8f6d8717773b13c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23ff30b89e70f62c1949e5e1568c7fc4548e68fc36c381254c3ea14d7b44c8d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-07-31T15:45:24Z",
    "title_canon_sha256": "7c98da57c0528b979013e645a60859b75e136806c38b58f26fec3b46b710cf64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.21700",
    "kind": "arxiv",
    "version": 1
  }
}