Pith Number

pith:EWXKI2UM

pith:2019:EWXKI2UMQ3QPFVHHWQR2YYEYIL

not attested not anchored not stored refs pending

Finiteness conditions for the weak commutativity construction

Bruno Lima, Raimundo Bastos, Ricardo Nunes

arxiv:1907.00508 v1 · 2019-07-01 · 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{EWXKI2UMQ3QPFVHHWQR2YYEYIL}

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	2026-05-17T23:41:51.428360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25aea46a8c86e0f2d4e7b423ac609842d0b001744f9f416fbfe48b4ae0380f98

Aliases

arxiv: 1907.00508 · arxiv_version: 1907.00508v1 · doi: 10.48550/arxiv.1907.00508 · pith_short_12: EWXKI2UMQ3QP · pith_short_16: EWXKI2UMQ3QPFVHH · pith_short_8: EWXKI2UM

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/EWXKI2UMQ3QPFVHHWQR2YYEYIL \
  | 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: 25aea46a8c86e0f2d4e7b423ac609842d0b001744f9f416fbfe48b4ae0380f98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d9c16a7eb044b71f7f42679daafd074ed6b195120dc394fa4546c42fbd1ce4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-07-01T01:17:02Z",
    "title_canon_sha256": "00509bbc192a76a1ec14ef6806512f7eceb304a19bd920801daef5b4271fe247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00508",
    "kind": "arxiv",
    "version": 1
  }
}