Pith Number

pith:KTHPEVWR

pith:2016:KTHPEVWRDVODBJWAT2XOPQHNN3

not attested not anchored not stored refs pending

On $\kappa$-reducibility of pseudovarieties of the form $\bf V*\bf D$

Concei\c{c}\~ao Nogueira, Jos\'e Carlos Costa, M. Lurdes Teixeira

arxiv:1602.03020 v1 · 2016-02-09 · 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{KTHPEVWRDVODBJWAT2XOPQHNN3}

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	2026-05-18T01:21:03.642101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54cef256d11d5c30a6c09eaee7c0ed6ed693a59bfe06dd47105e06fe1287d2e2

Aliases

arxiv: 1602.03020 · arxiv_version: 1602.03020v1 · doi: 10.48550/arxiv.1602.03020 · pith_short_12: KTHPEVWRDVOD · pith_short_16: KTHPEVWRDVODBJWA · pith_short_8: KTHPEVWR

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/KTHPEVWRDVODBJWAT2XOPQHNN3 \
  | 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: 54cef256d11d5c30a6c09eaee7c0ed6ed693a59bfe06dd47105e06fe1287d2e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "873629c3555243e040caa17dcc7504143e69c54ccf0036348ed1b9dfdc0b0ce5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-09T15:09:32Z",
    "title_canon_sha256": "689b010b8c402087a4837a67ab16bee8f77a184c72f30ddaa4aec1bee14bd2b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03020",
    "kind": "arxiv",
    "version": 1
  }
}