Pith Number

pith:DBKAZHRJ

pith:2010:DBKAZHRJGHVNY2F6YC2FXQ4WKR

not attested not anchored not stored refs pending

Partitions of groups and matroids into independent subsets

Igor Protasov, Taras Banakh

arxiv:1010.1359 v1 · 2010-10-07 · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBKAZHRJGHVNY2F6YC2FXQ4WKR}

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	2026-05-18T04:15:04.337328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18540c9e2931eadc68bec0b45bc396546bcfd8bfee82ae55bd6a827178fcb0c4

Aliases

arxiv: 1010.1359 · arxiv_version: 1010.1359v1 · doi: 10.48550/arxiv.1010.1359 · pith_short_12: DBKAZHRJGHVN · pith_short_16: DBKAZHRJGHVNY2F6 · pith_short_8: DBKAZHRJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DBKAZHRJGHVNY2F6YC2FXQ4WKR \
  | 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: 18540c9e2931eadc68bec0b45bc396546bcfd8bfee82ae55bd6a827178fcb0c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c0f18cdb437c7733a6efd20bab1d41f21c8103318d1fe4eea53f01b3a8f8c13",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-07T07:26:03Z",
    "title_canon_sha256": "62873086fb785871f7c972c6e44b100d826e779b7746c63d41cd7bb817ea6bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1359",
    "kind": "arxiv",
    "version": 1
  }
}