Pith Number

pith:5ZXXLLGL

pith:2015:5ZXXLLGLV76NVCZU23JIV3XIPJ

not attested not anchored not stored refs pending

Some reducibility properties for pseudovarieties of the form DRH

C\'elia Borlido

arxiv:1512.01021 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{5ZXXLLGLV76NVCZU23JIV3XIPJ}

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	2026-05-18T01:25:23.580127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee6f75accbaffcda8b34d6d28aeee87a4c3dcceb55f90c8e17cb086da926f81b

Aliases

arxiv: 1512.01021 · arxiv_version: 1512.01021v1 · doi: 10.48550/arxiv.1512.01021 · pith_short_12: 5ZXXLLGLV76N · pith_short_16: 5ZXXLLGLV76NVCZU · pith_short_8: 5ZXXLLGL

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/5ZXXLLGLV76NVCZU23JIV3XIPJ \
  | 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: ee6f75accbaffcda8b34d6d28aeee87a4c3dcceb55f90c8e17cb086da926f81b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d882995f9277ee633eb900f663eb8d05fdf5dedb9c62b7396b4ac00a8b8b7236",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-03T10:11:37Z",
    "title_canon_sha256": "72439c680f4bf47d7e6382616aaba0f6224a21cd6bf088e80d47b11679b68e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01021",
    "kind": "arxiv",
    "version": 1
  }
}