Pith. sign in
Pith Number

pith:FZYLLZRO

pith:2007:FZYLLZROZOW2R4RGQVTMX3HKLP
not attested not anchored not stored refs pending

Approximate Killing Vectors on S^2

Bernard F. Whiting, Gregory B. Cook

arxiv:0706.0199 v1 · 2007-06-01 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FZYLLZROZOW2R4RGQVTMX3HKLP}

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 2026-07-04T15:24:16.676957Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2e70b5e62ecbada8f2268566cbecea5bf0425bd019b7e32063dc7c035d2a78df

Aliases

arxiv: 0706.0199 · arxiv_version: 0706.0199v1 · doi: 10.48550/arxiv.0706.0199 · pith_short_12: FZYLLZROZOW2 · pith_short_16: FZYLLZROZOW2R4RG · pith_short_8: FZYLLZRO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FZYLLZROZOW2R4RGQVTMX3HKLP \
  | 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: 2e70b5e62ecbada8f2268566cbecea5bf0425bd019b7e32063dc7c035d2a78df
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8e48ef32069c1b35558331ee56b8f6dd7fca5b1128445f18f0bafb16d5a84ac6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-06-01T19:01:14Z",
    "title_canon_sha256": "6986fc6591a889eac02132065ee5453f0203f2c4d0215c8ef7f1e91516ef0a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0199",
    "kind": "arxiv",
    "version": 1
  }
}