Pith Number

pith:LK6VBOSM

pith:2021:LK6VBOSM4CX3SNBZS2DQEIIGG3

not attested not anchored not stored refs pending

Universality of curvature invariants in critical vacuum gravitational collapse

Anton Khirnov, Tom\'a\v{s} Ledvinka

arxiv:2102.09579 v2 · 2021-02-18 · 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{LK6VBOSM4CX3SNBZS2DQEIIGG3}

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

Critical collapse of vacuum spacetimes: Nakamura wave initial data

Receipt and verification

First computed	2026-07-05T04:42:53.970540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5abd50ba4ce0afb93439968702210636da6a3fcc3b23f368c98cfd46c2ba08ca

Aliases

arxiv: 2102.09579 · arxiv_version: 2102.09579v2 · doi: 10.48550/arxiv.2102.09579 · pith_short_12: LK6VBOSM4CX3 · pith_short_16: LK6VBOSM4CX3SNBZ · pith_short_8: LK6VBOSM

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/LK6VBOSM4CX3SNBZS2DQEIIGG3 \
  | 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: 5abd50ba4ce0afb93439968702210636da6a3fcc3b23f368c98cfd46c2ba08ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dae747c4426cc1db689b75d57cea2d7a234578dc63a1ff1ead20d9cbe711355",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-02-18T19:00:49Z",
    "title_canon_sha256": "dbee51909d3459194fd198158c06c9b7c17a2e2b20bc41b9794eec89f6e361f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09579",
    "kind": "arxiv",
    "version": 2
  }
}