Pith Number

pith:U4UARJ4R

pith:1998:U4UARJ4R2VTXOWMVAPINU445UT

not attested not anchored not stored refs pending

All nonspherical perturbations of the Choptuik spacetime decay

Carsten Gundlach (AEI, Jose M. Martin-Garcia (LAEFF, Madrid), Potsdam)

arxiv:gr-qc/9809059 v1 · 1998-09-18 · 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{U4UARJ4R2VTXOWMVAPINU445UT}

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

5 papers in Pith

Quantum fate of the Choptuik naked singularity

Unveiling horizons in quantum critical collapse

Quantum Critical Collapse Abhors a Naked Singularity

Critical spacetime crystals in continuous dimensions

Unveiling horizons in quantum critical collapse

Receipt and verification

First computed	2026-07-04T16:08:51.884630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72808a791d56777599503d0da739da4c5024c51366fbe32914f1d04e70d53b7

Aliases

arxiv: gr-qc/9809059 · arxiv_version: gr-qc/9809059v1 · doi: 10.48550/arxiv.gr-qc/9809059 · pith_short_12: U4UARJ4R2VTX · pith_short_16: U4UARJ4R2VTXOWMV · pith_short_8: U4UARJ4R

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/U4UARJ4R2VTXOWMVAPINU445UT \
  | 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: a72808a791d56777599503d0da739da4c5024c51366fbe32914f1d04e70d53b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35974d55c61594b49b9c9779cb96a744ed6f5b41c85b383700116257e95b6e4f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-09-18T11:45:09Z",
    "title_canon_sha256": "a770c676faa286a415c12c44e39c5fab52c3e95bf4669c9fcc7080d560f1be15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9809059",
    "kind": "arxiv",
    "version": 1
  }
}