Pith Number

pith:WI4DXGUP

pith:2007:WI4DXGUPJGEFQA2KVVA4FOAUED

not attested not anchored not stored refs pending

Multipole expansions for energy and momenta carried by gravitational waves

Dario Nunez, Miguel Alcubierre, Milton Ruiz, Ryoji Takahashi

arxiv:0707.4654 v3 · 2007-07-31 · 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{WI4DXGUPJGEFQA2KVVA4FOAUED}

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

6 papers in Pith

Evidence for eccentricity in the population of binary black holes observed by LIGO-Virgo-KAGRA

Merger remnant and eccentricity dynamics surrogates for eccentric nonspinning black hole binaries

Convergence of post-Newtonian for quasi-circular non-precessing comparable mass ratios BBHs

Surrogate models for precessing binary black hole simulations with unequal masses

Properties of natural polynomials for Schwarzschild and Kerr black holes

Receipt and verification

First computed	2026-07-04T15:30:31.805101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2383b9a8f498858034aad41c2b81420ec33f7fe5a4d7c9ec0f9f81cc6022571

Aliases

arxiv: 0707.4654 · arxiv_version: 0707.4654v3 · doi: 10.48550/arxiv.0707.4654 · pith_short_12: WI4DXGUPJGEF · pith_short_16: WI4DXGUPJGEFQA2K · pith_short_8: WI4DXGUP

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/WI4DXGUPJGEFQA2KVVA4FOAUED \
  | 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: b2383b9a8f498858034aad41c2b81420ec33f7fe5a4d7c9ec0f9f81cc6022571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7db4e893cf83c37df110b9479d47d3178116d4c0310bcaa8bed9f29f56a81820",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-07-31T16:41:06Z",
    "title_canon_sha256": "e8df8388590e2fd92282e1ea6e42c157f8d07384e57b2ffe7cef748e23aa776e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4654",
    "kind": "arxiv",
    "version": 3
  }
}