Pith Number

pith:DCKOLDOJ

pith:2022:DCKOLDOJTJID2OJ3WJK3KE3FZO

not attested not anchored not stored refs pending

Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes

Gustav Holzegel, Igor Rodnianski, Martin Taylor, Mihalis Dafermos

arxiv:2212.14093 v2 · 2022-12-28 · 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{DCKOLDOJTJID2OJ3WJK3KE3FZO}

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.

Receipt and verification

First computed	2026-06-03T14:05:44.475627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1894e58dc99a503d393bb255b51365cbafd6cd03a07dca2df2ddce010da981e6

Aliases

arxiv: 2212.14093 · arxiv_version: 2212.14093v2 · doi: 10.48550/arxiv.2212.14093 · pith_short_12: DCKOLDOJTJID · pith_short_16: DCKOLDOJTJID2OJ3 · pith_short_8: DCKOLDOJ

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/DCKOLDOJTJID2OJ3WJK3KE3FZO \
  | 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: 1894e58dc99a503d393bb255b51365cbafd6cd03a07dca2df2ddce010da981e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "555edbc42d2d3f801ee33ef473143a62be910b2c8db9029958789bd42ebd15d6",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-12-28T20:43:39Z",
    "title_canon_sha256": "1d717e285940d354a975ab6d4a9235bcf1ef477df939cd230699c2bdf613b5dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.14093",
    "kind": "arxiv",
    "version": 2
  }
}