Pith Number

pith:227W5Z4T

pith:2011:227W5Z4TO3EVO7A2KFKTDNJSOE

not attested not anchored not stored refs pending

Homology of Distributive Lattices

Jozef H. Przytycki, Krzysztof K. Putyra

arxiv:1111.4772 v1 · 2011-11-21 · math.GT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{227W5Z4TO3EVO7A2KFKTDNJSOE}

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	2026-05-18T03:04:38.665487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6bf6ee79376c9577c1a515531b532712360f1a92cbb591814a6bfc1cfc0279e

Aliases

arxiv: 1111.4772 · arxiv_version: 1111.4772v1 · doi: 10.48550/arxiv.1111.4772 · pith_short_12: 227W5Z4TO3EV · pith_short_16: 227W5Z4TO3EVO7A2 · pith_short_8: 227W5Z4T

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/227W5Z4TO3EVO7A2KFKTDNJSOE \
  | 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: d6bf6ee79376c9577c1a515531b532712360f1a92cbb591814a6bfc1cfc0279e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "207e43bf227c3af5469092a51226fb2c00ec01dfd833c8abaf148fa699f9c19b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-21T07:15:49Z",
    "title_canon_sha256": "93071accfd9d2405153209c71387110b091bc04282f23bbe15f02de19bd4359f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4772",
    "kind": "arxiv",
    "version": 1
  }
}