Pith Number

pith:UKXHMO5O

pith:2015:UKXHMO5O7EPKJYTITZXBUESCVS

not attested not anchored not stored refs pending

Complete kappa-reducibility of pseudovarieties of the form DRH

C\'elia Borlido, Jorge Almeida

arxiv:1512.01024 v1 · 2015-12-03 · 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{UKXHMO5O7EPKJYTITZXBUESCVS}

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	2026-05-17T23:51:15.093774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2ae763baef91ea4e2689e6e1a1242ac941c464c6b950188ebe4fa9d0ecbe08d

Aliases

arxiv: 1512.01024 · arxiv_version: 1512.01024v1 · doi: 10.48550/arxiv.1512.01024 · pith_short_12: UKXHMO5O7EPK · pith_short_16: UKXHMO5O7EPKJYTI · pith_short_8: UKXHMO5O

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/UKXHMO5O7EPKJYTITZXBUESCVS \
  | 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: a2ae763baef91ea4e2689e6e1a1242ac941c464c6b950188ebe4fa9d0ecbe08d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38b75ad09987b395b37749361a40a3ee69bcc0e93d76b06674b9820265bab0f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-03T10:14:52Z",
    "title_canon_sha256": "363000d5eef75bf84374d953041bf09301088b8679bce51bd45105c4007751a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01024",
    "kind": "arxiv",
    "version": 1
  }
}