Pith Number

pith:BWGFS76H

pith:2011:BWGFS76HBX2TTZGZQM6U54LLEE

not attested not anchored not stored refs pending

Splittings of independence complexes and the powers of cycles

Michal Adamaszek

arxiv:1106.6250 v4 · 2011-06-30 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWGFS76HBX2TTZGZQM6U54LLEE}

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	2026-05-18T04:00:52.252354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d8c597fc70df539e4d9833d4ef16b213ea8315e318546c1d1714ac6ab211d56

Aliases

arxiv: 1106.6250 · arxiv_version: 1106.6250v4 · doi: 10.48550/arxiv.1106.6250 · pith_short_12: BWGFS76HBX2T · pith_short_16: BWGFS76HBX2TTZGZ · pith_short_8: BWGFS76H

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/BWGFS76HBX2TTZGZQM6U54LLEE \
  | 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: 0d8c597fc70df539e4d9833d4ef16b213ea8315e318546c1d1714ac6ab211d56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "113a1a88cdb63aedb9cbbfa6bd19f6945cf64f03b3c263b53dca09a97a83581c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-30T14:45:46Z",
    "title_canon_sha256": "df2b709abf939ca8ce6255d814a4c4b87d4bf5f575ebb3c6e711afd21738fdef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6250",
    "kind": "arxiv",
    "version": 4
  }
}