Pith Number

pith:3P6MUEQA

pith:2000:3P6MUEQAJFFJ7WC3GLYGFXHN4W

not attested not anchored not stored refs pending

Type II Critical Collapse of a Self-Gravitating Nonlinear $\sigma$-Model

Christiane Lechner, Jonathan Thornburg, Michael P\"urrer, Peter C. Aichelburg, Sascha Husa

arxiv:gr-qc/0002067 v3 · 2000-02-18 · 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{3P6MUEQAJFFJ7WC3GLYGFXHN4W}

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	2026-05-18T01:09:08.407067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbfcca1200494a9fd85b32f062dcede599861c617f4c6c8adc29754f2281277e

Aliases

arxiv: gr-qc/0002067 · arxiv_version: gr-qc/0002067v3 · doi: 10.48550/arxiv.gr-qc/0002067 · pith_short_12: 3P6MUEQAJFFJ · pith_short_16: 3P6MUEQAJFFJ7WC3 · pith_short_8: 3P6MUEQA

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/3P6MUEQAJFFJ7WC3GLYGFXHN4W \
  | 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: dbfcca1200494a9fd85b32f062dcede599861c617f4c6c8adc29754f2281277e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c1ec7e4fdaebb3409234c0e92afdcfe0afff9fda0e18f4470fc2f15a1f846d7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-02-18T22:34:33Z",
    "title_canon_sha256": "911c8d5ef9174b603059abe987fd0697f6ee008aecedf15334b13c7e22ddeacd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0002067",
    "kind": "arxiv",
    "version": 3
  }
}