Pith Number

pith:SQNNK5RA

pith:2012:SQNNK5RAAEZMBQUHPJBONCMFYO

not attested not anchored not stored refs pending

The Commuting Graph of the Symmetric Inverse Semigroup

Janusz Konieczny, Jo\~ao Ara\'ujo, Wolfram Bentz

arxiv:1205.1664 v1 · 2012-05-08 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQNNK5RAAEZMBQUHPJBONCMFYO}

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	2026-05-18T03:56:09.530125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

941ad576200132c0c2877a42e68985c39334494ca137c0f88b5862bc93824957

Aliases

arxiv: 1205.1664 · arxiv_version: 1205.1664v1 · doi: 10.48550/arxiv.1205.1664 · pith_short_12: SQNNK5RAAEZM · pith_short_16: SQNNK5RAAEZMBQUH · pith_short_8: SQNNK5RA

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/SQNNK5RAAEZMBQUHPJBONCMFYO \
  | 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: 941ad576200132c0c2877a42e68985c39334494ca137c0f88b5862bc93824957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "265b5317262d25a9baed96156a4922b002c539ab69bb7c9b4294bf3f60751248",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-08T11:47:28Z",
    "title_canon_sha256": "ed4d2133c8927c5be1ba5ec17e0af40bb6a0fa4dee2d42ce5ba950fa415f860f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1664",
    "kind": "arxiv",
    "version": 1
  }
}