Pith Number

pith:6JZILJQB

pith:2009:6JZILJQB33YCM3MV2G7A43EIU6

not attested not anchored not stored refs pending

The Group Structure of Pivot and Loop Complementation on Graphs and Set Systems

Hendrik Jan Hoogeboom, Robert Brijder

arxiv:0909.4004 v4 · 2009-09-22 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JZILJQB33YCM3MV2G7A43EIU6}

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	2026-05-18T02:55:39.706209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f27285a601def0266d95d1be0e6c88a79d0fbcd016af6a99a5e5ee479687b046

Aliases

arxiv: 0909.4004 · arxiv_version: 0909.4004v4 · doi: 10.48550/arxiv.0909.4004 · pith_short_12: 6JZILJQB33YC · pith_short_16: 6JZILJQB33YCM3MV · pith_short_8: 6JZILJQB

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/6JZILJQB33YCM3MV2G7A43EIU6 \
  | 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: f27285a601def0266d95d1be0e6c88a79d0fbcd016af6a99a5e5ee479687b046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6680a47fcafc6368b6705881f1e43b46d97302d06b1928a529e1ae763a2f3ed7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2009-09-22T15:42:06Z",
    "title_canon_sha256": "551d3a5b206df54ec5fb6c797f1bea6a1407db9fcfa59209b13aeef1c132a832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4004",
    "kind": "arxiv",
    "version": 4
  }
}