Pith. sign in
Pith Number

pith:YLGCFALR

pith:2011:YLGCFALROYMAETDGNP2BASPYYM
not attested not anchored not stored refs pending

Optical Geometry of the Kerr Space-time

Cameron Bloomer

arxiv:1111.4998 v1 · 2011-11-21 · math-ph · gr-qc · math.DG · math.GT · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YLGCFALROYMAETDGNP2BASPYYM}

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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 2026-05-18T04:07:54.560753Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c2cc2281717618024c666bf41049f8c317982253f54f30cb3a1c7eff06c9bb9b

Aliases

arxiv: 1111.4998 · arxiv_version: 1111.4998v1 · doi: 10.48550/arxiv.1111.4998 · pith_short_12: YLGCFALROYMA · pith_short_16: YLGCFALROYMAETDG · pith_short_8: YLGCFALR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YLGCFALROYMAETDGNP2BASPYYM \
  | 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: c2cc2281717618024c666bf41049f8c317982253f54f30cb3a1c7eff06c9bb9b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "29f41442af27494972ae91601cddf367be716ded3cdb729b144bb911c3825992",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-21T20:38:30Z",
    "title_canon_sha256": "9b494deb84a871b49a3557cda42c563ddce3990cf62fb4dfc1b0f5d4b24929c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4998",
    "kind": "arxiv",
    "version": 1
  }
}