Pith Number

pith:K3IJV75S

pith:2021:K3IJV75SPFXLNPHYHG2CBSXDOL

not attested not anchored not stored refs pending

Scattering Amplitudes and Conservative Binary Dynamics at ${\cal O}(G^4)$

Chia-Hsien Shen, Julio Parra-Martinez, Mao Zeng, Michael S. Ruf, Mikhail P. Solon, Radu Roiban, Zvi Bern

arxiv:2101.07254 v2 · 2021-01-18 · hep-th · gr-qc · 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{K3IJV75SPFXLNPHYHG2CBSXDOL}

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

16 papers in Pith

Binary black hole scattering with generic spins

NLO Angular Impulse and Leading Singularities to all orders in spin for Kerr Black Holes

Weak-field waveforms for generic relativistic orbits

Lecture notes: Introduction to the Off-shell Double Copy Program

Gravitational Compton scattering at the fourth post-Minkowskian order

Receipt and verification

First computed	2026-07-05T02:41:30.979984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d09affb2796eb6bcf839b420cae372f832a93792ea648f123a61ec80af58aa

Aliases

arxiv: 2101.07254 · arxiv_version: 2101.07254v2 · doi: 10.48550/arxiv.2101.07254 · pith_short_12: K3IJV75SPFXL · pith_short_16: K3IJV75SPFXLNPHY · pith_short_8: K3IJV75S

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/K3IJV75SPFXLNPHYHG2CBSXDOL \
  | 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: 56d09affb2796eb6bcf839b420cae372f832a93792ea648f123a61ec80af58aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "150f16de6571bbf1755dc96153e3440cbdab7d21695bcd58fe75737dac9379fd",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-01-18T18:59:31Z",
    "title_canon_sha256": "7a2c88591a185cca23ff9bb7ba8dc5679f17a9a57da8217185973db4a9cfb375"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.07254",
    "kind": "arxiv",
    "version": 2
  }
}