Pith Number

pith:3BKT2MRY

pith:2021:3BKT2MRYKA4Q4EA7DBZMUDNHTP

not attested not anchored not stored refs pending

Analytic results for two-loop planar master integrals for Bhabha scattering

Claude Duhr, Lorenzo Tancredi, Vladimir A. Smirnov

arxiv:2108.03828 v1 · 2021-08-09 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BKT2MRYKA4Q4EA7DBZMUDNHTP}

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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

On the extraction of $\alpha_\textit{em}(m_Z^2)$ at Tera-$Z$

Receipt and verification

First computed	2026-07-05T03:19:20.178017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8553d323850390e101f1872ca0da79bed8cc87d62f00fb2f163efe54d95477c

Aliases

arxiv: 2108.03828 · arxiv_version: 2108.03828v1 · doi: 10.48550/arxiv.2108.03828 · pith_short_12: 3BKT2MRYKA4Q · pith_short_16: 3BKT2MRYKA4Q4EA7 · pith_short_8: 3BKT2MRY

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/3BKT2MRYKA4Q4EA7DBZMUDNHTP \
  | 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: d8553d323850390e101f1872ca0da79bed8cc87d62f00fb2f163efe54d95477c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28f55e6e759bd26598e2dd93145ca84cc2069e7aca9cd54f1e58e3e2f9a0815",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-08-09T06:21:44Z",
    "title_canon_sha256": "4bfc5ca3355c3af9a6cc78996104215253513e112f0fa7fca48ab9b9cdf99353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.03828",
    "kind": "arxiv",
    "version": 1
  }
}