Pith Number

pith:7E4WPJFG

pith:2021:7E4WPJFGP52ZSQBUTJFFXQNL2N

not attested not anchored not stored refs pending

Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$

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

arxiv:2112.10750 v1 · 2021-12-20 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7E4WPJFGP52ZSQBUTJFFXQNL2N}

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

Conservative and dissipative sectors in a nonlinear scalar model for the gravitational self-force problem

Gravitational wave scattering at $\mathcal{O}(G^4)$: Murua construction and elliptics

Emergence of Calabi-Yau manifolds in high-precision black hole scattering

Fano and Reflexive Polytopes from Feynman Integrals

The Classical Gravitational Impulse at High Energies

Receipt and verification

First computed	2026-07-05T04:19:50.737735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f93967a4a67f759940349a4a5bc1abd3640ec957c9b9354826253748b949b8bd

Aliases

arxiv: 2112.10750 · arxiv_version: 2112.10750v1 · doi: 10.48550/arxiv.2112.10750 · pith_short_12: 7E4WPJFGP52Z · pith_short_16: 7E4WPJFGP52ZSQBU · pith_short_8: 7E4WPJFG

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/7E4WPJFGP52ZSQBUTJFFXQNL2N \
  | 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: f93967a4a67f759940349a4a5bc1abd3640ec957c9b9354826253748b949b8bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c10a04bd108510ee57d621320d04af14cd3dd0805b80809396eac68b538220f5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-20T18:55:13Z",
    "title_canon_sha256": "a6877dde0f07160079cd6a7c5525235e74b3284415edb255f26f91445c06d110"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10750",
    "kind": "arxiv",
    "version": 1
  }
}