Pith Number

pith:OZCAC23J

pith:2012:OZCAC23JC5FFZ4M5HSLJOXSZVI

not attested not anchored not stored refs pending

On implicational bases of closure systems with unique critical sets

J.B. Nation, Kira Adaricheva

arxiv:1205.2881 v2 · 2012-05-13 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZCAC23JC5FFZ4M5HSLJOXSZVI}

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	2026-05-18T03:00:59.286179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7644016b69174a5cf19d3c96975e59aa3c11f511977d70c6450231e96a2c580b

Aliases

arxiv: 1205.2881 · arxiv_version: 1205.2881v2 · doi: 10.48550/arxiv.1205.2881 · pith_short_12: OZCAC23JC5FF · pith_short_16: OZCAC23JC5FFZ4M5 · pith_short_8: OZCAC23J

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/OZCAC23JC5FFZ4M5HSLJOXSZVI \
  | 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: 7644016b69174a5cf19d3c96975e59aa3c11f511977d70c6450231e96a2c580b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1311c61eed7b5fa413e7ba4835ccf6b29b4e1d479ba53a1de7300ea3ce6124fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-05-13T16:36:07Z",
    "title_canon_sha256": "d95bbc5ead668b6b9d9970cbceec570ab44cf4595fa6b8e61027eebe2211580e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2881",
    "kind": "arxiv",
    "version": 2
  }
}