Pith Number

pith:VT4TD2YL

pith:1998:VT4TD2YLO7UHUWA5JXVNXNKXOP

not attested not anchored not stored refs pending

The singularity in supercritical collapse of a spherical scalar field

Lior M. Burko

arxiv:gr-qc/9803059 v2 · 1998-03-17 · 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{VT4TD2YLO7UHUWA5JXVNXNKXOP}

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.

Receipt and verification

First computed	2026-05-18T04:35:33.805044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf931eb0b77e87a581d4deadbb55773dc7d9d1c3c244ff8d45c19507e5f430e

Aliases

arxiv: gr-qc/9803059 · arxiv_version: gr-qc/9803059v2 · doi: 10.48550/arxiv.gr-qc/9803059 · pith_short_12: VT4TD2YLO7UH · pith_short_16: VT4TD2YLO7UHUWA5 · pith_short_8: VT4TD2YL

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/VT4TD2YLO7UHUWA5JXVNXNKXOP \
  | 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: acf931eb0b77e87a581d4deadbb55773dc7d9d1c3c244ff8d45c19507e5f430e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fee5936e04c268ab39bc1575a6a3fdc0c9fd72d6db72225b3ee0c56c86325356",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-03-17T11:22:57Z",
    "title_canon_sha256": "c388270e1b489249c29a2eb99cb9a822d40658a608d0c92e66b4cfe138ba132d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9803059",
    "kind": "arxiv",
    "version": 2
  }
}