Pith Number

pith:QFWO7C6K

pith:2021:QFWO7C6KPNQAIJU7XMNQ6QC5VJ

not attested not anchored not stored refs pending

Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity

Filippo Vernizzi, Massimiliano Maria Riva

arxiv:2110.10140 v4 · 2021-10-19 · 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{QFWO7C6KPNQAIJU7XMNQ6QC5VJ}

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

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

Black Hole Response Theory and its Exact Shockwave Limit

Receipt and verification

First computed	2026-07-05T04:44:10.461748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

816cef8bca7b6004269fbb1b0f405daa50257f182ec14d47046fa2e9f2263954

Aliases

arxiv: 2110.10140 · arxiv_version: 2110.10140v4 · doi: 10.48550/arxiv.2110.10140 · pith_short_12: QFWO7C6KPNQA · pith_short_16: QFWO7C6KPNQAIJU7 · pith_short_8: QFWO7C6K

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/QFWO7C6KPNQAIJU7XMNQ6QC5VJ \
  | 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: 816cef8bca7b6004269fbb1b0f405daa50257f182ec14d47046fa2e9f2263954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf95a8a1b384f450f60158fecaede9c4edacfb4928db73b6fb6f74a664489a1c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-10-19T17:48:13Z",
    "title_canon_sha256": "41e74e884a8b91bf26ee85df77898d5b4898df414edb0f887097a6c835925fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.10140",
    "kind": "arxiv",
    "version": 4
  }
}