Pith Number

pith:XD6NG3U6

pith:2009:XD6NG3U6G2QBEPODD7QDX3B352

not attested not anchored not stored refs pending

On the lattice of sub-pseudovarieties of DA

Manfred Kufleitner, Pascal Weil (LaBRI)

arxiv:0904.2893 v2 · 2009-04-19 · 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{XD6NG3U6G2QBEPODD7QDX3B352}

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	2026-05-18T04:41:44.138586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8fcd36e9e36a0123dc31fe03bec3beea2b54a9b10d2774f968117dabbe0ba7e

Aliases

arxiv: 0904.2893 · arxiv_version: 0904.2893v2 · doi: 10.48550/arxiv.0904.2893 · pith_short_12: XD6NG3U6G2QB · pith_short_16: XD6NG3U6G2QBEPOD · pith_short_8: XD6NG3U6

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/XD6NG3U6G2QBEPODD7QDX3B352 \
  | 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: b8fcd36e9e36a0123dc31fe03bec3beea2b54a9b10d2774f968117dabbe0ba7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b2a24825e38ea97f59bc40c93741aef5ca0af1bfa9cf3333d219ed52339978a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-04-19T07:58:31Z",
    "title_canon_sha256": "733510820224f7f676667781aded598dde36e407943113637cb51365cb4cdfb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2893",
    "kind": "arxiv",
    "version": 2
  }
}