Pith Number

pith:D3YT6GI2

pith:2026:D3YT6GI2Z63U6OLIPKGWXUNW2Y

not attested not anchored not stored refs pending

Three-Dimensional Real Affine Lie Groups

M. W. Mansouri, S. El Bourkadi, T. A\"it Aissa

arxiv:2606.29317 v1 · 2026-06-28 · math.SG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3YT6GI2Z63U6OLIPKGWXUNW2Y}

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	2026-06-30T01:18:01.265877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef13f191acfb74f39687a8d6bd1b6d62564224e186443afd517c5acfbc9abbf

Aliases

arxiv: 2606.29317 · arxiv_version: 2606.29317v1 · doi: 10.48550/arxiv.2606.29317 · pith_short_12: D3YT6GI2Z63U · pith_short_16: D3YT6GI2Z63U6OLI · pith_short_8: D3YT6GI2

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/D3YT6GI2Z63U6OLIPKGWXUNW2Y \
  | 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: 1ef13f191acfb74f39687a8d6bd1b6d62564224e186443afd517c5acfbc9abbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99bcf031bb11a023b6d1f4a733fa9f6561f13f64e485eb21f145be668c3f52cc",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-06-28T10:23:59Z",
    "title_canon_sha256": "55df75c27495f214462705466d4d7b5494437348b67e02af629361d1c586844a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29317",
    "kind": "arxiv",
    "version": 1
  }
}