Pith Number

pith:WBHHLPM7

pith:2024:WBHHLPM77PGQAV7RH6AY5DSNLS

not attested not anchored not stored refs pending

Simulations of gravitational collapse in null coordinates: III. Hyperbolicity

Carsten Gundlach

arxiv:2404.16720 v2 · 2024-04-25 · 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{WBHHLPM77PGQAV7RH6AY5DSNLS}

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

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR

Receipt and verification

First computed	2026-07-05T08:42:03.721551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b04e75bd9ffbcd0057f13f818e8e4d5c9bb221bdd0e8b59629c56da942689a90

Aliases

arxiv: 2404.16720 · arxiv_version: 2404.16720v2 · doi: 10.48550/arxiv.2404.16720 · pith_short_12: WBHHLPM77PGQ · pith_short_16: WBHHLPM77PGQAV7R · pith_short_8: WBHHLPM7

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/WBHHLPM77PGQAV7RH6AY5DSNLS \
  | 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: b04e75bd9ffbcd0057f13f818e8e4d5c9bb221bdd0e8b59629c56da942689a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeac224a12e4d3f9af2bcba18698976586aa206745c9035b465284015d3effa8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-04-25T16:31:59Z",
    "title_canon_sha256": "a32c6f86b5081eef86065e5e838794fe47fa37a0865b4893d5bd36cc3f8b5ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.16720",
    "kind": "arxiv",
    "version": 2
  }
}