Pith Number

pith:UENMOEJB

pith:2018:UENMOEJBVG6JGJ6ZCK6JEYB2M4

not attested not anchored not stored refs pending

The $\rho$ parameter at three loops and elliptic integrals

A. De Freitas, C. Schneider, E. Imamoglu, J. Bl\"umlein, M. van Hoeij, P. Marquard

arxiv:1807.05287 v1 · 2018-07-13 · hep-ph · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UENMOEJBVG6JGJ6ZCK6JEYB2M4}

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	2026-05-18T00:10:43.891489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a11ac71121a9bc9327d912bc92603a670d6a81a8dce0f4ce04546645579115e8

Aliases

arxiv: 1807.05287 · arxiv_version: 1807.05287v1 · doi: 10.48550/arxiv.1807.05287 · pith_short_12: UENMOEJBVG6J · pith_short_16: UENMOEJBVG6JGJ6Z · pith_short_8: UENMOEJB

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/UENMOEJBVG6JGJ6ZCK6JEYB2M4 \
  | 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: a11ac71121a9bc9327d912bc92603a670d6a81a8dce0f4ce04546645579115e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "917f61a6d652999649f111c1afa6a13edb12cb76a6a15385b8c1bcd051c74b1e",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-07-13T21:32:54Z",
    "title_canon_sha256": "b6a3ef8a2f227b1f83f6c851c5f9c191a90c7863cacfb65e84499cdf510a0694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05287",
    "kind": "arxiv",
    "version": 1
  }
}