pith. sign in
Pith Number

pith:7TXCK3XZ

pith:2013:7TXCK3XZV3ZNK44DBL4ZVXOUXU
not attested not anchored not stored refs pending

Dimension Reduction via Colour Refinement

Erkal Selman, Kristian Kersting, Martin Grohe, Martin Mladenov

arxiv:1307.5697 v2 · 2013-07-22 · cs.DS · cs.DM · cs.LG · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7TXCK3XZV3ZNK44DBL4ZVXOUXU}

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 2026-05-18T02:52:56.063704Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fcee256ef9aef2d573830af99addd4bd160c41fa37ea9b38105397f258d9d3f4

Aliases

arxiv: 1307.5697 · arxiv_version: 1307.5697v2 · doi: 10.48550/arxiv.1307.5697 · pith_short_12: 7TXCK3XZV3ZN · pith_short_16: 7TXCK3XZV3ZNK44D · pith_short_8: 7TXCK3XZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7TXCK3XZV3ZNK44DBL4ZVXOUXU \
  | 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: fcee256ef9aef2d573830af99addd4bd160c41fa37ea9b38105397f258d9d3f4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ab1ee77f423ae19371c5d8c68b41d8578e755e7ccd3e84b995d9399dc98f878a",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-07-22T13:34:44Z",
    "title_canon_sha256": "1cb2ca81c631aeabb44f352277e82b54292f5f7e62a7c7c61b0ac34319988976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5697",
    "kind": "arxiv",
    "version": 2
  }
}