Pith Number

pith:5ULZTF55

pith:2009:5ULZTF55PSS4AO4MHR375PCD3Y

not attested not anchored not stored refs pending

Dualities and dual pairs in Heyting algebras

Ales Pultr, Claude Tardif, Jan Foniok, Jaroslav Nesetril

arxiv:0908.0428 v2 · 2009-08-04 · math.CO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ULZTF55PSS4AO4MHR375PCD3Y}

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	2026-05-18T04:34:00.597430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed179997bd7ca5c03b8c3c77febc43de0566c68d24a2322edc1752f4727d38d0

Aliases

arxiv: 0908.0428 · arxiv_version: 0908.0428v2 · doi: 10.48550/arxiv.0908.0428 · pith_short_12: 5ULZTF55PSS4 · pith_short_16: 5ULZTF55PSS4AO4M · pith_short_8: 5ULZTF55

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/5ULZTF55PSS4AO4MHR375PCD3Y \
  | 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: ed179997bd7ca5c03b8c3c77febc43de0566c68d24a2322edc1752f4727d38d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99f53bdcb51dabaf4545643c12801453a37a06a044a6b427d8e2b8d62217927c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-08-04T12:08:31Z",
    "title_canon_sha256": "0157ad328508ada5e140c47ffee114e94a2d2057ac1de3e03e12d3d32bfc8c17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0428",
    "kind": "arxiv",
    "version": 2
  }
}