Pith Number

pith:LMPKGM6D

pith:2019:LMPKGM6DGPQR5X3YWLYPNEZQOO

not attested not anchored not stored refs pending

Critical phenomena in the gravitational collapse of electromagnetic waves

Carsten Gundlach, David Hilditch, Thomas W. Baumgarte

arxiv:1909.00850 v2 · 2019-09-02 · 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{LMPKGM6DGPQR5X3YWLYPNEZQOO}

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

2 papers in Pith

Critical collapse of vacuum spacetimes: Nakamura wave initial data

Gravitational collapse in the vicinity of the extremal black hole critical point

Receipt and verification

First computed	2026-07-05T00:15:40.385162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b1ea333c333e11edf78b2f0f6933073835587bec60d5364c5a1bde1aa769e33

Aliases

arxiv: 1909.00850 · arxiv_version: 1909.00850v2 · doi: 10.48550/arxiv.1909.00850 · pith_short_12: LMPKGM6DGPQR · pith_short_16: LMPKGM6DGPQR5X3Y · pith_short_8: LMPKGM6D

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/LMPKGM6DGPQR5X3YWLYPNEZQOO \
  | 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: 5b1ea333c333e11edf78b2f0f6933073835587bec60d5364c5a1bde1aa769e33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d504e0f21ef8412146638b5deb14523b63b2299fb24ecff271417fbe6c594c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-09-02T20:00:35Z",
    "title_canon_sha256": "fdd50a9374c8ce3d29f651e103fbadb4f6effc2d5671c5ce289a5f74c4f20e1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00850",
    "kind": "arxiv",
    "version": 2
  }
}