Pith Number

pith:AWFNOT6C

pith:2021:AWFNOT6CGHPW5A47FMHXHPFDHE

not attested not anchored not stored refs pending

Nonlinear interaction of three impulsive gravitational waves II: the wave estimates

Jonathan Luk, Maxime Van de Moortel

arxiv:2106.05479 v2 · 2021-06-10 · gr-qc · math-ph · math.AP · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWFNOT6CGHPW5A47FMHXHPFDHE}

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

1 paper in Pith

High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov

Receipt and verification

First computed	2026-07-05T05:54:26.095991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

058ad74fc231df6e839f2b0f73bca33930787b6c3cd6bc9ed33da3dd87a104d9

Aliases

arxiv: 2106.05479 · arxiv_version: 2106.05479v2 · doi: 10.48550/arxiv.2106.05479 · pith_short_12: AWFNOT6CGHPW · pith_short_16: AWFNOT6CGHPW5A47 · pith_short_8: AWFNOT6C

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/AWFNOT6CGHPW5A47FMHXHPFDHE \
  | 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: 058ad74fc231df6e839f2b0f73bca33930787b6c3cd6bc9ed33da3dd87a104d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f3b9e4ad6078417c69b5bb4f7bd9ae796fca8869602279bc9c26cb3e3e1d2a",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-10T03:34:21Z",
    "title_canon_sha256": "42a3c89ca38d1f07682d3b342d210c53977d97123ffc0ea737aa566cd8a2ad4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.05479",
    "kind": "arxiv",
    "version": 2
  }
}