Pith Number

pith:UVJ457JH

pith:1996:UVJ457JHW2U4V7JUYNMBX7YQ5V

not attested not anchored not stored refs pending

Understanding critical collapse of a scalar field

Carsten Gundlach

arxiv:gr-qc/9604019 v1 · 1996-04-08 · 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{UVJ457JHW2U4V7JUYNMBX7YQ5V}

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

6 papers in Pith

Quantum fate of the Choptuik naked singularity

Critical collapse of vacuum spacetimes: Nakamura wave initial data

Unveiling horizons in quantum critical collapse

Quantum Critical Collapse Abhors a Naked Singularity

Critical spacetime crystals in continuous dimensions

Receipt and verification

First computed	2026-07-04T16:01:09.961579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a553cefd27b6a9cafd34c3581bff10ed5f6d904526bff5c38feb569bac64462b

Aliases

arxiv: gr-qc/9604019 · arxiv_version: gr-qc/9604019v1 · doi: 10.48550/arxiv.gr-qc/9604019 · pith_short_12: UVJ457JHW2U4 · pith_short_16: UVJ457JHW2U4V7JU · pith_short_8: UVJ457JH

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/UVJ457JHW2U4V7JUYNMBX7YQ5V \
  | 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: a553cefd27b6a9cafd34c3581bff10ed5f6d904526bff5c38feb569bac64462b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "440686983975a4243e47eb81f8a4fe2b56c4643c4c10bfb8064f799b1579fbb4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-04-08T16:36:52Z",
    "title_canon_sha256": "55f624d6cc477485f81be416cfdc78a051bccd6503cee5117f4384d34dc53930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9604019",
    "kind": "arxiv",
    "version": 1
  }
}