Pith Number

pith:NCB2XXN7

pith:2011:NCB2XXN7SCTGQUXB55XNHIS3EB

not attested not anchored not stored refs pending

Hyperboloidal slices for the wave equation of Kerr-Schild metrics and numerical applications

Michael Jasiulek

arxiv:1109.2513 v3 · 2011-09-12 · 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{NCB2XXN7SCTGQUXB55XNHIS3EB}

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	2026-05-18T02:00:34.317689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6883abddbf90a66852e1ef6ed3a25b204efa7143f433f7632cdc904af97d1cbc

Aliases

arxiv: 1109.2513 · arxiv_version: 1109.2513v3 · doi: 10.48550/arxiv.1109.2513 · pith_short_12: NCB2XXN7SCTG · pith_short_16: NCB2XXN7SCTGQUXB · pith_short_8: NCB2XXN7

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/NCB2XXN7SCTGQUXB55XNHIS3EB \
  | 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: 6883abddbf90a66852e1ef6ed3a25b204efa7143f433f7632cdc904af97d1cbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e57aa340cfb02768658027dd109a383e92cb1f14d0b349b81ce6aaff1956083",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-12T16:02:01Z",
    "title_canon_sha256": "52645fc59fa7cf373e2aec7e57c9d307cccb7ec5d3a2ae9422525f927d87d6fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2513",
    "kind": "arxiv",
    "version": 3
  }
}