Pith Number

pith:KZXO4YFN

pith:2011:KZXO4YFN2UENVZY54K3IBEFEAS

not attested not anchored not stored refs pending

C-independence and c-rank of posets and lattices

John Rhodes, Zur Izhakian

arxiv:1110.3553 v1 · 2011-10-17 · math.MG · 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{KZXO4YFN2UENVZY54K3IBEFEAS}

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	2026-05-18T04:10:48.962385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

566eee60add508dae71de2b68090a404844407dc72b2238d47b9e87f5d4f6f9c

Aliases

arxiv: 1110.3553 · arxiv_version: 1110.3553v1 · doi: 10.48550/arxiv.1110.3553 · pith_short_12: KZXO4YFN2UEN · pith_short_16: KZXO4YFN2UENVZY5 · pith_short_8: KZXO4YFN

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/KZXO4YFN2UENVZY54K3IBEFEAS \
  | 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: 566eee60add508dae71de2b68090a404844407dc72b2238d47b9e87f5d4f6f9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac1c906e0a8771ae8c966704625f39ffa5895071f41a46a95925924cff1efa31",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-10-17T01:48:12Z",
    "title_canon_sha256": "1be1be15848775a03cbd204877ad82eb5735b4b5c31204e7e61c0c235b6f3fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3553",
    "kind": "arxiv",
    "version": 1
  }
}