Pith Number

pith:UE4VSA75

pith:2018:UE4VSA75MX5Y4LVXGFKPTBXGWB

not attested not anchored not stored refs pending

Two applications of monoid actions to cross-sections

Alan J. Cain, Tara Brough, Victor Maltcev

arxiv:1803.10747 v2 · 2018-03-28 · 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{UE4VSA75MX5Y4LVXGFKPTBXGWB}

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	2026-05-17T23:40:24.219882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1395903fd65fb8e2eb73154f986e6b044263bf4f8bb5a89150b86080b5e0c1a

Aliases

arxiv: 1803.10747 · arxiv_version: 1803.10747v2 · doi: 10.48550/arxiv.1803.10747 · pith_short_12: UE4VSA75MX5Y · pith_short_16: UE4VSA75MX5Y4LVX · pith_short_8: UE4VSA75

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/UE4VSA75MX5Y4LVXGFKPTBXGWB \
  | 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: a1395903fd65fb8e2eb73154f986e6b044263bf4f8bb5a89150b86080b5e0c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e588195eef0f7cd94fc16cbb94095c01bb74eb143d990a407571abacd4ca890",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-28T17:34:01Z",
    "title_canon_sha256": "22d779e789d2ec1948d6666ef1291f6c6c26ab5d12cb5c8de0d1bbe809973696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10747",
    "kind": "arxiv",
    "version": 2
  }
}