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Pith Number

pith:3V6AZZDV

pith:2006:3V6AZZDV5ITMR6GMZME3HETHIB
not attested not anchored not stored refs pending

Maximum gradient embeddings and monotone clustering

Assaf Naor, Manor Mendel

arxiv:cs/0606109 v4 · 2006-06-26 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3V6AZZDV5ITMR6GMZME3HETHIB}

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 2026-05-18T03:40:50.011020Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dd7c0ce475ea26c8f8cccb09b392674043bad163a9174dbe0b2e6a711aa31640

Aliases

arxiv: cs/0606109 · arxiv_version: cs/0606109v4 · doi: 10.48550/arxiv.cs/0606109 · pith_short_12: 3V6AZZDV5ITM · pith_short_16: 3V6AZZDV5ITMR6GM · pith_short_8: 3V6AZZDV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3V6AZZDV5ITMR6GMZME3HETHIB \
  | 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: dd7c0ce475ea26c8f8cccb09b392674043bad163a9174dbe0b2e6a711aa31640
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "40620b7c980a21d5a2ca531fc1e9a6c888ce133e8289b5f4e4ce569784bb02a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2006-06-26T19:32:29Z",
    "title_canon_sha256": "88c67303351f79cc6aec88e813c17fcadb8d32458a5ad875797a92f71465a92b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0606109",
    "kind": "arxiv",
    "version": 4
  }
}