Pith Number

pith:AS3BMDUD

pith:2022:AS3BMDUDL7T3P6YV4AMU3Q2SMX

not attested not anchored not stored refs pending

From five-loop scattering amplitudes to open trees with the Loop-Tree Duality

German F. R. Sborlini, Germ\'an Rodrigo, Roger J. Hern\'andez-Pinto, Selomit Ram\'irez-Uribe

arxiv:2211.03163 v1 · 2022-11-06 · 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{AS3BMDUDL7T3P6YV4AMU3Q2SMX}

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	2026-07-05T05:13:45.290037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b6160e835fe7b7fb15e0194dc35265e3426ceae3356ad9fa01338bb6f4d04a

Aliases

arxiv: 2211.03163 · arxiv_version: 2211.03163v1 · doi: 10.48550/arxiv.2211.03163 · pith_short_12: AS3BMDUDL7T3 · pith_short_16: AS3BMDUDL7T3P6YV · pith_short_8: AS3BMDUD

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/AS3BMDUDL7T3P6YV4AMU3Q2SMX \
  | 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: 04b6160e835fe7b7fb15e0194dc35265e3426ceae3356ad9fa01338bb6f4d04a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32ada3f0cd4c1e332ff1584bd3ffd1e5cdcd2e407d303e2f0fed6afb529dc79e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-11-06T16:06:21Z",
    "title_canon_sha256": "6a3233bfa2dc65083842b490891571c36b6bf00b94f8ab55e68472c56db87397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.03163",
    "kind": "arxiv",
    "version": 1
  }
}