Pith Number

pith:CHZN7RC7

pith:1995:CHZN7RC7MTGQ7LNUHZX3G224FS

not attested not anchored not stored refs pending

Recurrence Relations for Three-Loop Prototypes of Bubble Diagrams with a Mass

Leo. V. Avdeev

arxiv:hep-ph/9512442 v1 · 1995-12-29 · 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{CHZN7RC7MTGQ7LNUHZX3G224FS}

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

Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme

Receipt and verification

First computed	2026-07-04T15:59:19.149786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11f2dfc45f64cd0fadb43e6fb36b5c2ca24f794e884e64d6176be5e0b0cc866b

Aliases

arxiv: hep-ph/9512442 · arxiv_version: hep-ph/9512442v1 · doi: 10.48550/arxiv.hep-ph/9512442 · pith_short_12: CHZN7RC7MTGQ · pith_short_16: CHZN7RC7MTGQ7LNU · pith_short_8: CHZN7RC7

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/CHZN7RC7MTGQ7LNUHZX3G224FS \
  | 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: 11f2dfc45f64cd0fadb43e6fb36b5c2ca24f794e884e64d6176be5e0b0cc866b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e589f36880b610f592fd39b711043b5357ba02cec02b6a0d17820aa1aeb8fd70",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1995-12-29T16:41:53Z",
    "title_canon_sha256": "50886d637d5142eab3fd7ea94f065770c7c09d6ca0684b0954421613f3bd0676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9512442",
    "kind": "arxiv",
    "version": 1
  }
}