Pith Number

pith:VI7WHZQO

pith:2013:VI7WHZQONESMHR6YQRLLZS6Z5S

not attested not anchored not stored refs pending

Distributivity in skew lattices

Joao Pita Costa, Jonathan Leech, Michael Kinyon

arxiv:1306.5598 v1 · 2013-06-24 · 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{VI7WHZQONESMHR6YQRLLZS6Z5S}

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	2026-05-18T03:20:07.455437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa3f63e60e6924c3c7d88456bccbd9ec8dec549bac66bac68d82007349646f78

Aliases

arxiv: 1306.5598 · arxiv_version: 1306.5598v1 · doi: 10.48550/arxiv.1306.5598 · pith_short_12: VI7WHZQONESM · pith_short_16: VI7WHZQONESMHR6Y · pith_short_8: VI7WHZQO

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/VI7WHZQONESMHR6YQRLLZS6Z5S \
  | 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: aa3f63e60e6924c3c7d88456bccbd9ec8dec549bac66bac68d82007349646f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75f3db330dc73988c91bc4b721cb85f26c125b3419abf2bf2b92414c07f5e7fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-06-24T12:34:36Z",
    "title_canon_sha256": "51dfcc2d7e3b7c628881f78cf8bf56ae2295902ac6d2da8ebbee9c7e9056d03c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5598",
    "kind": "arxiv",
    "version": 1
  }
}