Pith Number

pith:RIFBYZSM

pith:2010:RIFBYZSMQXQ7CITB5ICKXNVPZT

not attested not anchored not stored refs pending

On Residual Finiteness of Monoids, their Schutzenberger Groups and Associated Actions

Nik Ruskuc, Robert Gray

arxiv:1003.3176 v2 · 2010-03-16 · 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{RIFBYZSMQXQ7CITB5ICKXNVPZT}

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	2026-05-18T02:24:36.941519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a0a1c664c85e1f12261ea04abb6afcce874f8f6c7521c0ef075b37b81d3b860

Aliases

arxiv: 1003.3176 · arxiv_version: 1003.3176v2 · doi: 10.48550/arxiv.1003.3176 · pith_short_12: RIFBYZSMQXQ7 · pith_short_16: RIFBYZSMQXQ7CITB · pith_short_8: RIFBYZSM

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/RIFBYZSMQXQ7CITB5ICKXNVPZT \
  | 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: 8a0a1c664c85e1f12261ea04abb6afcce874f8f6c7521c0ef075b37b81d3b860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faeff383282b832f63af3c537ceff2ddd2567f56ad9e190766d025684c0d3719",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-03-16T16:23:11Z",
    "title_canon_sha256": "a4b99e46702a5cbc7938b56e05a50adaf39aa042b6d7b538de4f6aa752489485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3176",
    "kind": "arxiv",
    "version": 2
  }
}