Pith. sign in
Pith Number

pith:ZTAGJ7AT

pith:2005:ZTAGJ7ATNML5JSLDMGLUATBI25
not attested not anchored not stored refs pending

Critical behavior in vacuum gravitational collapse in 4+1 dimensions

Bernd G. Schmidt, Piotr Bizo\'n, Tadeusz Chmaj

arxiv:gr-qc/0506074 v1 · 2005-06-13 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZTAGJ7ATNML5JSLDMGLUATBI25}

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

1 paper in Pith

Receipt and verification
First computed 2026-07-04T16:55:15.483909Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ccc064fc136b17d4c9636197404c28d76cc470515561886243a8120f94d8e289

Aliases

arxiv: gr-qc/0506074 · arxiv_version: gr-qc/0506074v1 · doi: 10.48550/arxiv.gr-qc/0506074 · pith_short_12: ZTAGJ7ATNML5 · pith_short_16: ZTAGJ7ATNML5JSLD · pith_short_8: ZTAGJ7AT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZTAGJ7ATNML5JSLDMGLUATBI25 \
  | 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: ccc064fc136b17d4c9636197404c28d76cc470515561886243a8120f94d8e289
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3c5bef511e1b7fc14c9b5a2e7239633900ee7e506d090717ee5e0e6624b58f07",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-06-13T08:00:30Z",
    "title_canon_sha256": "9301af5220140f1a1ef24b95b2842d0dc32067ff4562b66e1ef95db7a8f7a75b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0506074",
    "kind": "arxiv",
    "version": 1
  }
}