Pith Number

pith:P5ZC5A6O

pith:2024:P5ZC5A6OYAQMWRJ65RIZ5ZTHMY

not attested not anchored not stored refs pending

Vacuum amplitudes and time-like causal unitary in the loop-tree duality

Andr\'es E. Renter\'ia-Olivo, David F. Renter\'ia-Estrada, German F. R. Sborlini, Germ\'an Rodrigo, Jorge J. Mart\'inez de Lejarza, Leandro Cieri, Prasanna K. Dhani, Roger J. Hern\'andez-Pinto, Selomit Ram\'irez-Uribe, The LTD Collaboration, William J. Torres Bobadilla

arxiv:2404.05492 v2 · 2024-04-08 · hep-ph · hep-ex · 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{P5ZC5A6OYAQMWRJ65RIZ5ZTHMY}

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

2 papers in Pith

Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\boldsymbol{g}^{\boldsymbol{6}}$

Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist

Receipt and verification

First computed	2026-07-05T09:53:00.573867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f722e83cec020cb453eec519ee667660bb4916ce002c7d2d6bd946fe1c1bc23

Aliases

arxiv: 2404.05492 · arxiv_version: 2404.05492v2 · doi: 10.48550/arxiv.2404.05492 · pith_short_12: P5ZC5A6OYAQM · pith_short_16: P5ZC5A6OYAQMWRJ6 · pith_short_8: P5ZC5A6O

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/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY \
  | 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: 7f722e83cec020cb453eec519ee667660bb4916ce002c7d2d6bd946fe1c1bc23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "653e44f4200a4c80fd8d58b7293457671f8a85b82d539c480000d7f2c614d21d",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-04-08T13:12:38Z",
    "title_canon_sha256": "4556d4293f0472ace3cb24a5f0cd2ea588c19516d77b6f8584bac6fe9ec2d4f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.05492",
    "kind": "arxiv",
    "version": 2
  }
}