Pith Number

pith:U5U3JZP3

pith:2009:U5U3JZP3KY543XS7237UXXLBXV

not attested not anchored not stored refs pending

The relation of semiadjacency of $\cap$-semigroups of transformations

Valentin S. Trokhimenko, Wieslaw A. Dudek

arxiv:0903.4872 v2 · 2009-03-27 · 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{U5U3JZP3KY543XS7237UXXLBXV}

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	2026-05-18T02:28:48.646718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a769b4e5fb563bcdde5fd6ff4bdd61bd6b4fd6c8ad4f82489ac99fae8eda89a9

Aliases

arxiv: 0903.4872 · arxiv_version: 0903.4872v2 · doi: 10.48550/arxiv.0903.4872 · pith_short_12: U5U3JZP3KY54 · pith_short_16: U5U3JZP3KY543XS7 · pith_short_8: U5U3JZP3

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/U5U3JZP3KY543XS7237UXXLBXV \
  | 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: a769b4e5fb563bcdde5fd6ff4bdd61bd6b4fd6c8ad4f82489ac99fae8eda89a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666d757301d70f70e9ce6f01cd1d94a1a4bd40ccf654523d1affa799dc01d4d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-03-27T18:37:20Z",
    "title_canon_sha256": "8812b6eafefad104b60ad4faefb9c1e9d10e2fef904b25f8c43d56863cca2613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4872",
    "kind": "arxiv",
    "version": 2
  }
}