Pith Number

pith:B2WUDZVZ

pith:2011:B2WUDZVZ56WRYQLPOTWKUZQGHJ

not attested not anchored not stored refs pending

Binary dynamics from spin1-spin2 coupling at fourth post-Newtonian order

Michele Levi

arxiv:1107.4322 v4 · 2011-07-21 · gr-qc · 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{B2WUDZVZ56WRYQLPOTWKUZQGHJ}

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

3 papers in Pith

Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter

Generalized Carter & R\"udiger Constants of $\sqrt{\text{Kerr}}$

N-body next-to-leading order gravitational spin-orbit interaction via effective field theory

Receipt and verification

First computed	2026-05-18T02:49:02.416108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ead41e6b9efad1c416f74ecaa66063a7d825e1bbd9d7181ea61f9a9095eab0a

Aliases

arxiv: 1107.4322 · arxiv_version: 1107.4322v4 · doi: 10.48550/arxiv.1107.4322 · pith_short_12: B2WUDZVZ56WR · pith_short_16: B2WUDZVZ56WRYQLP · pith_short_8: B2WUDZVZ

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/B2WUDZVZ56WRYQLPOTWKUZQGHJ \
  | 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: 0ead41e6b9efad1c416f74ecaa66063a7d825e1bbd9d7181ea61f9a9095eab0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e989208929263383bd3690a1f6901641745be15015e668ff01fe227af70496d5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-21T17:37:32Z",
    "title_canon_sha256": "746cdcedbfd0574c110364b6ed795d237574dadce8f22a0d4a58d25780d4a1fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4322",
    "kind": "arxiv",
    "version": 4
  }
}