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Pith Number

pith:ROYKEMGK

pith:2008:ROYKEMGK32KQDOL5M3LSLJLEYM
not attested not anchored not stored refs pending

On projectively equivalent metrics near points of bifurcation

Vladimir S. Matveev

arxiv:0809.3602 v1 · 2008-09-21 · math.DG · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ROYKEMGK32KQDOL5M3LSLJLEYM}

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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 2026-05-18T04:16:12.326887Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8bb0a230cade9501b97d66d725a564c33c19c33d2e13bc6aefe3e0a0610321e9

Aliases

arxiv: 0809.3602 · arxiv_version: 0809.3602v1 · doi: 10.48550/arxiv.0809.3602 · pith_short_12: ROYKEMGK32KQ · pith_short_16: ROYKEMGK32KQDOL5 · pith_short_8: ROYKEMGK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ROYKEMGK32KQDOL5M3LSLJLEYM \
  | 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: 8bb0a230cade9501b97d66d725a564c33c19c33d2e13bc6aefe3e0a0610321e9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a788fd832eca98d0b88b94424855028349a38deae50047392c09bf5a4d4c78dd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-09-21T19:08:24Z",
    "title_canon_sha256": "a84a321176046cf993247ee4de65b7654ed2bc5eb482b006da233703d5bf0b45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3602",
    "kind": "arxiv",
    "version": 1
  }
}