Pith Number

pith:R2HZPVPQ

pith:2001:R2HZPVPQDBLZZMAEVJBGD7WJBL

not attested not anchored not stored refs pending

Self-similar spherically symmetric solutions of the massless Einstein-Vlasov system

Carsten Gundlach, Jose M. Martin-Garcia

arxiv:gr-qc/0112009 v1 · 2001-12-07 · 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{R2HZPVPQDBLZZMAEVJBGD7WJBL}

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

Unveiling horizons in quantum critical collapse

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

Receipt and verification

First computed	2026-07-04T16:26:59.836997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e8f97d5f018579cb004aa4261fec90af14c17e5ecaa033544174f66c5d6886c

Aliases

arxiv: gr-qc/0112009 · arxiv_version: gr-qc/0112009v1 · doi: 10.48550/arxiv.gr-qc/0112009 · pith_short_12: R2HZPVPQDBLZ · pith_short_16: R2HZPVPQDBLZZMAE · pith_short_8: R2HZPVPQ

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/R2HZPVPQDBLZZMAEVJBGD7WJBL \
  | 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: 8e8f97d5f018579cb004aa4261fec90af14c17e5ecaa033544174f66c5d6886c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aee0b893f632550cb8ce4386ff4f83e5f6bfec3b9a94dd67bc180558ec31c16",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-12-07T14:26:01Z",
    "title_canon_sha256": "1bcd853940e3f992a22aae375105ea221df22bea0784a7cb530378622eff5aaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0112009",
    "kind": "arxiv",
    "version": 1
  }
}