Pith Number

pith:534TOCU5

pith:2003:534TOCU5MSIJCJXLTQ6VIJDIQG

not attested not anchored not stored refs pending

Critical Collapse of the Massless Scalar Field in Axisymmetry

E.W. Hirschmann, F.Pretorius, M.W. Choptuik, S.L. Liebling

arxiv:gr-qc/0305003 v1 · 2003-05-01 · 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{534TOCU5MSIJCJXLTQ6VIJDIQG}

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

3 papers in Pith

Critical collapse of vacuum spacetimes: Nakamura wave initial data

Unveiling horizons in quantum critical collapse

Receipt and verification

First computed	2026-07-04T16:40:12.201245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef9370a9d64909126eb9c3d542468818a5346e0faddd0a8d2dedd2093013aad

Aliases

arxiv: gr-qc/0305003 · arxiv_version: gr-qc/0305003v1 · doi: 10.48550/arxiv.gr-qc/0305003 · pith_short_12: 534TOCU5MSIJ · pith_short_16: 534TOCU5MSIJCJXL · pith_short_8: 534TOCU5

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/534TOCU5MSIJCJXLTQ6VIJDIQG \
  | 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: eef9370a9d64909126eb9c3d542468818a5346e0faddd0a8d2dedd2093013aad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3964176d9dcaafd7440baa14308483c89790e8092f2876c01e1ae60da6517897",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-05-01T08:05:35Z",
    "title_canon_sha256": "79c4d858b870c428ca2a5cc5bf661e9fd7c5e97b42b9417393f0dbff0c01d6d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0305003",
    "kind": "arxiv",
    "version": 1
  }
}