Pith Number

pith:I4MGLCYK

pith:2011:I4MGLCYKSXX5XKZI7TBQK7GPQ3

not attested not anchored not stored refs pending

Incidence properties of cosets in loops

Kyle Pula, Michael Kinyon, Petr Vojtechovsky

arxiv:1108.3656 v3 · 2011-08-18 · 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{I4MGLCYKSXX5XKZI7TBQK7GPQ3}

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	2026-05-18T03:44:33.916297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4718658b0a95efdbab28fcc3057ccf86eae80abaa126e3cb8a1b4596929fbfa1

Aliases

arxiv: 1108.3656 · arxiv_version: 1108.3656v3 · doi: 10.48550/arxiv.1108.3656 · pith_short_12: I4MGLCYKSXX5 · pith_short_16: I4MGLCYKSXX5XKZI · pith_short_8: I4MGLCYK

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/I4MGLCYKSXX5XKZI7TBQK7GPQ3 \
  | 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: 4718658b0a95efdbab28fcc3057ccf86eae80abaa126e3cb8a1b4596929fbfa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36771e9207eef44b07c405f7893379bbdd21d7b973651746a604467d87f18fc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-18T06:22:26Z",
    "title_canon_sha256": "1ff99975c50723fc5e80c3bf22e193321e60f1a23e941ffd58663492dd7ecdf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3656",
    "kind": "arxiv",
    "version": 3
  }
}