Pith Number

pith:AMHHYGAA

pith:2021:AMHHYGAABC7Q3TZF42F7UNHTT3

not attested not anchored not stored refs pending

Geometrical approach to causality in multi-loop amplitudes

German F. R. Sborlini

arxiv:2102.05062 v2 · 2021-02-09 · 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{AMHHYGAABC7Q3TZF42F7UNHTT3}

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

General finite two-loop amplitude integrand for photoproduction in quark annihilation

Receipt and verification

First computed	2026-07-05T03:11:59.019680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

030e7c180008bf0dcf25e68bfa34f39ec548b24e521512d134bbba1b2b1afc51

Aliases

arxiv: 2102.05062 · arxiv_version: 2102.05062v2 · doi: 10.48550/arxiv.2102.05062 · pith_short_12: AMHHYGAABC7Q · pith_short_16: AMHHYGAABC7Q3TZF · pith_short_8: AMHHYGAA

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/AMHHYGAABC7Q3TZF42F7UNHTT3 \
  | 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: 030e7c180008bf0dcf25e68bfa34f39ec548b24e521512d134bbba1b2b1afc51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9677663754d8c774924d7233511fca88be60d60bd1995aeb35c5b5403bc56e1d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-02-09T19:00:06Z",
    "title_canon_sha256": "aefcb15afa08afda0159075940061f51835094bd87140cbff95652e5c5d0a89e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.05062",
    "kind": "arxiv",
    "version": 2
  }
}