pith. sign in
Pith Number

pith:EUX6QNXF

pith:2006:EUX6QNXFOG27Z6VMKLUPGYG65L
not attested not anchored not stored refs pending

KMS states and branched points

Masaki Izumi, Tsuyoshi Kajiwara, Yasuo Watatani

arxiv:math/0603592 v1 · 2006-03-25 · math.OA · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EUX6QNXFOG27Z6VMKLUPGYG65L}

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 2026-07-04T14:54:00.783565Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

252fe836e571b5fcfaac52e8f360deeacee26e36b63a319b638410506fc01c21

Aliases

arxiv: math/0603592 · arxiv_version: math/0603592v1 · doi: 10.48550/arxiv.math/0603592 · pith_short_12: EUX6QNXFOG27 · pith_short_16: EUX6QNXFOG27Z6VM · pith_short_8: EUX6QNXF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EUX6QNXFOG27Z6VMKLUPGYG65L \
  | 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: 252fe836e571b5fcfaac52e8f360deeacee26e36b63a319b638410506fc01c21
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4c6ae2b12ac8bb33387fb382244969a211acb344db6839682cdd75132d566ac5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-03-25T07:08:50Z",
    "title_canon_sha256": "6fcc739ef56a65a6e2a816cff6475c8cc4a290cb546082a8cf42f932fa9972ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603592",
    "kind": "arxiv",
    "version": 1
  }
}