Pith Number

pith:CBYRZMHW

pith:2019:CBYRZMHW2JCOOOVWEVCLFZBMXG

not attested not anchored not stored refs pending

Bases for pseudovarieties closed under bideterministic product

Alfredo Costa, Ana Escada

arxiv:1902.10804 v2 · 2019-02-27 · 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{CBYRZMHW2JCOOOVWEVCLFZBMXG}

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	2026-05-17T23:51:55.642790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10711cb0f6d244e73ab62544b2e42cb989fd9324c0c330692d92fceef7708e32

Aliases

arxiv: 1902.10804 · arxiv_version: 1902.10804v2 · doi: 10.48550/arxiv.1902.10804 · pith_short_12: CBYRZMHW2JCO · pith_short_16: CBYRZMHW2JCOOOVW · pith_short_8: CBYRZMHW

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/CBYRZMHW2JCOOOVWEVCLFZBMXG \
  | 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: 10711cb0f6d244e73ab62544b2e42cb989fd9324c0c330692d92fceef7708e32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b0d15b15c034c01d7b62d06c0726c1e7440ea2e698be72f0f02bda695ae24e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-02-27T22:05:31Z",
    "title_canon_sha256": "8e8537cd42a71e86f81d619861630bdae99b0c33a3bec3c93970b7e90134ffc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10804",
    "kind": "arxiv",
    "version": 2
  }
}