Pith Number

pith:UKQARO6D

pith:2011:UKQARO6DQ2KW6SDD2F72PNF5AX

not attested not anchored not stored refs pending

Double Catalan monoids

Benjamin Steinberg, Volodymyr Mazorchuk

arxiv:1105.5313 v2 · 2011-05-26 · math.GR · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKQARO6DQ2KW6SDD2F72PNF5AX}

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	2026-05-18T00:44:53.058619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a008bbc386956f4863d17fa7b4bd05ee9bea1a06d300d1c0c7821258c03b94

Aliases

arxiv: 1105.5313 · arxiv_version: 1105.5313v2 · doi: 10.48550/arxiv.1105.5313 · pith_short_12: UKQARO6DQ2KW · pith_short_16: UKQARO6DQ2KW6SDD · pith_short_8: UKQARO6D

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/UKQARO6DQ2KW6SDD2F72PNF5AX \
  | 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: a2a008bbc386956f4863d17fa7b4bd05ee9bea1a06d300d1c0c7821258c03b94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5129030fb32f2c3b8f70768f498282775ea12162f2e3de683795ec3b4330dcf8",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-26T14:44:28Z",
    "title_canon_sha256": "9ab49a9fb545ddeec311552e5fc8467f1c9e16c99265c2b6fbbbfacd5af7b10b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5313",
    "kind": "arxiv",
    "version": 2
  }
}