Pith Number

pith:U6DVMWNJ

pith:2019:U6DVMWNJGQIBQIGLKDL7I64ABA

not attested not anchored not stored refs pending

The location of the last stable orbit in Kerr spacetime

Leo C. Stein, Niels Warburton

arxiv:1912.07609 v2 · 2019-12-16 · gr-qc · astro-ph.HE · 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{U6DVMWNJGQIBQIGLKDL7I64ABA}

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	2026-07-05T00:46:05.812569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7875659a934101820cb50d7f47b800828b38bef74c297efab4f534cc4c0eaa5

Aliases

arxiv: 1912.07609 · arxiv_version: 1912.07609v2 · doi: 10.48550/arxiv.1912.07609 · pith_short_12: U6DVMWNJGQIB · pith_short_16: U6DVMWNJGQIBQIGL · pith_short_8: U6DVMWNJ

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/U6DVMWNJGQIBQIGLKDL7I64ABA \
  | 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: a7875659a934101820cb50d7f47b800828b38bef74c297efab4f534cc4c0eaa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c4fea647798a24b268b7e5f2016e67a037095d711d45784780a1684c7f8ad7",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-12-16T19:00:00Z",
    "title_canon_sha256": "69c8192483570555fdecae27d8df0a3ed5267875f143a83405f41f090ac63e4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07609",
    "kind": "arxiv",
    "version": 2
  }
}