Pith Number

pith:TU6FI7MH

pith:1996:TU6FI7MHRE7TIH4IYCZS6KSQPI

not attested not anchored not stored refs pending

Critical Behaviour in Gravitational Collapse of a Yang-Mills Field

Matthew W. Choptuik, Piotr Bizon, Tadeusz Chmaj

arxiv:gr-qc/9603051 v1 · 1996-03-27 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TU6FI7MHRE7TIH4IYCZS6KSQPI}

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

Unveiling horizons in quantum critical collapse

Quantum Critical Collapse Abhors a Naked Singularity

Unveiling horizons in quantum critical collapse

Dynamical Boson Stars

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

Receipt and verification

First computed	2026-07-04T16:01:09.721388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d3c547d87893f341f88c0b32f2a507a14e8952623972403c2d7782d88fd9f10

Aliases

arxiv: gr-qc/9603051 · arxiv_version: gr-qc/9603051v1 · doi: 10.48550/arxiv.gr-qc/9603051 · pith_short_12: TU6FI7MHRE7T · pith_short_16: TU6FI7MHRE7TIH4I · pith_short_8: TU6FI7MH

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/TU6FI7MHRE7TIH4IYCZS6KSQPI \
  | 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: 9d3c547d87893f341f88c0b32f2a507a14e8952623972403c2d7782d88fd9f10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39067342971d261e7ce2d37b0f1ed3bd1660aa454c9272ba9085dc641bd045e7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-03-27T19:34:21Z",
    "title_canon_sha256": "adce96f97fa4aeb932f75a2de646c890f0f323478b77a5cbf5087d3ae1e35492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9603051",
    "kind": "arxiv",
    "version": 1
  }
}