pith. sign in
Pith Number

pith:QYNVVGRJ

pith:2015:QYNVVGRJ4H2J3BXQZYSED6XLI5
not attested not anchored not stored refs pending

Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction

2). ((1) Inst. Theor. Physics, (2) Dept. Physics & Astron., Christian Heinicke (1), Columbia, Friedrich W. Hehl (1, Germany, Univ. of Cologne, Univ. of Missouri, USA)

arxiv:1503.02172 v1 · 2015-03-07 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QYNVVGRJ4H2J3BXQZYSED6XLI5}

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 2026-05-18T02:25:25.689927Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

861b5a9a29e1f49d86f0ce2441faeb477c10ae45dea429b780e27f6a899420cf

Aliases

arxiv: 1503.02172 · arxiv_version: 1503.02172v1 · doi: 10.48550/arxiv.1503.02172 · pith_short_12: QYNVVGRJ4H2J · pith_short_16: QYNVVGRJ4H2J3BXQ · pith_short_8: QYNVVGRJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QYNVVGRJ4H2J3BXQZYSED6XLI5 \
  | 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: 861b5a9a29e1f49d86f0ce2441faeb477c10ae45dea429b780e27f6a899420cf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "899adb3321fe21745d25ae135d7f16b9fbf03c3ea59ccf882cb8bdb44b5b34ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-03-07T13:48:44Z",
    "title_canon_sha256": "01939b2f4d45ff54d91a1e29934ede8ad94e7d11c55ad32cb47522fea8ba73d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02172",
    "kind": "arxiv",
    "version": 1
  }
}