Pith Number

pith:3CRONH3Q

pith:2005:3CRONH3QUL2TYYSXUVBDRMZ5UT

not attested not anchored not stored refs pending

Representations of $(2,n)$-semigroups by multiplace functions

Valentin S. Trokhimenko, Wieslaw A. Dudek

arxiv:math/0503116 v1 · 2005-03-06 · math.RA · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CRONH3QUL2TYYSXUVBDRMZ5UT}

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	2026-05-18T02:28:41.279259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8a2e69f70a2f53c6257a54238b33da4ec720591dbfe63e1a9d27ca24c09f72b

Aliases

arxiv: math/0503116 · arxiv_version: math/0503116v1 · doi: 10.48550/arxiv.math/0503116 · pith_short_12: 3CRONH3QUL2T · pith_short_16: 3CRONH3QUL2TYYSX · pith_short_8: 3CRONH3Q

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/3CRONH3QUL2TYYSXUVBDRMZ5UT \
  | 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: d8a2e69f70a2f53c6257a54238b33da4ec720591dbfe63e1a9d27ca24c09f72b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c698394ec1724b0ff185f81ea18d398fd6fb40eff20eaedb73684e6517070ab",
    "cross_cats_sorted": [
      "math.GM"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2005-03-06T20:54:24Z",
    "title_canon_sha256": "60e633d781facf740ac9d73817fd9c998526b5454a9834fe92e9ed45b4ea958f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503116",
    "kind": "arxiv",
    "version": 1
  }
}