Pith Number

pith:BONGRP37

pith:2015:BONGRP3735JH2K36KB2PAGTIO3

not attested not anchored not stored refs pending

SgpDec: Cascade (De)Compositions of Finite Transformation Semigroups and Permutation Groups

Attila Egri-Nagy, Chrystopher L. Nehaniv, James D. Mitchell

arxiv:1501.03217 v1 · 2015-01-14 · 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{BONGRP3735JH2K36KB2PAGTIO3}

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	2026-05-18T02:29:24.461699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b9a68bf7fdf527d2b7e5074f01a6876fc30a6545c66f622085209bc67115141

Aliases

arxiv: 1501.03217 · arxiv_version: 1501.03217v1 · doi: 10.48550/arxiv.1501.03217 · pith_short_12: BONGRP3735JH · pith_short_16: BONGRP3735JH2K36 · pith_short_8: BONGRP37

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/BONGRP3735JH2K36KB2PAGTIO3 \
  | 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: 0b9a68bf7fdf527d2b7e5074f01a6876fc30a6545c66f622085209bc67115141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09a0efcab5a82e5c4b69019d7ad8c86c2203e509b500e402da9b3661647af9e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-14T00:18:04Z",
    "title_canon_sha256": "7fcfb84b8f63c75ee99703854963764629790bdcade611abbc8eee4f79038e34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03217",
    "kind": "arxiv",
    "version": 1
  }
}