Pith Number

pith:NLRRXY7R

pith:2025:NLRRXY7ROLOC72AYOTJY4EML5P

not attested not anchored not stored refs pending

An explicit exotic representation of a rank-one simple Lie group via convex bodies

David Xu, Fran\c{c}ois Fillastre, Yusen Long

arxiv:2512.12369 v2 · 2025-12-13 · math.GR · math.GT · 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{NLRRXY7ROLOC72AYOTJY4EML5P}

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	2026-06-10T01:09:50.141228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ae31be3f172dc2fe81874d38e118bebe0c78f6669ddc4861d003f21565ead29

Aliases

arxiv: 2512.12369 · arxiv_version: 2512.12369v2 · doi: 10.48550/arxiv.2512.12369 · pith_short_12: NLRRXY7ROLOC · pith_short_16: NLRRXY7ROLOC72AY · pith_short_8: NLRRXY7R

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/NLRRXY7ROLOC72AYOTJY4EML5P \
  | 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: 6ae31be3f172dc2fe81874d38e118bebe0c78f6669ddc4861d003f21565ead29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9984a166e0f51db839957d13dd259fb2f08dd5e3a4d94434f3b706d76645766e",
    "cross_cats_sorted": [
      "math.GT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-12-13T15:52:00Z",
    "title_canon_sha256": "75e6cdbdc64e7cabba7ba4d72963cc3f63f909f52d5d7f543cd297f0005c5c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.12369",
    "kind": "arxiv",
    "version": 2
  }
}