Pith Number

pith:W4IDNDD7

pith:2025:W4IDNDD7EI7XBVOK23YRWDOF2I

not attested not anchored not stored refs pending

Hyperboloidal approach for linear and non-linear wave equations in FLRW spacetimes

Alex Va\~n\'o-Vi\~nuales, Flavio Rossetti

arxiv:2502.20520 v2 · 2025-02-27 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4IDNDD7EI7XBVOK23YRWDOF2I}

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	2026-07-05T11:01:32.301546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b710368c7f223f70d5cad6f11b0dc5d2234b4fe35b4a63cdf904c3f281f7f585

Aliases

arxiv: 2502.20520 · arxiv_version: 2502.20520v2 · doi: 10.48550/arxiv.2502.20520 · pith_short_12: W4IDNDD7EI7X · pith_short_16: W4IDNDD7EI7XBVOK · pith_short_8: W4IDNDD7

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/W4IDNDD7EI7XBVOK23YRWDOF2I \
  | 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: b710368c7f223f70d5cad6f11b0dc5d2234b4fe35b4a63cdf904c3f281f7f585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8cf157c411ec816a633b1159808f35e47fd62caaaa6db78cfec9b41d36f77eb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-02-27T21:14:25Z",
    "title_canon_sha256": "47733e02ddd0360abd72813a5984cf0fb2b567dcec4e715c0569c1c821b206bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.20520",
    "kind": "arxiv",
    "version": 2
  }
}