Pith Number

pith:BFL47LEO

pith:2009:BFL47LEOAJ4UY6PBV6V5XEIQW6

not attested not anchored not stored refs pending

On boundaries of Coxeter groups and topological fractal structures

Tetsuya Hosaka

arxiv:0912.0061 v4 · 2009-12-01 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFL47LEOAJ4UY6PBV6V5XEIQW6}

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	2026-05-18T04:34:37.257567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0957cfac8e02794c79e1afabdb9110b7bad7e224dd3260a12bbb59117556afd8

Aliases

arxiv: 0912.0061 · arxiv_version: 0912.0061v4 · doi: 10.48550/arxiv.0912.0061 · pith_short_12: BFL47LEOAJ4U · pith_short_16: BFL47LEOAJ4UY6PB · pith_short_8: BFL47LEO

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/BFL47LEOAJ4UY6PBV6V5XEIQW6 \
  | 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: 0957cfac8e02794c79e1afabdb9110b7bad7e224dd3260a12bbb59117556afd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b20bfbae0e7b129975852df94475ec72454da3dbd5a615f518dd2ae207bc0f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-12-01T03:14:04Z",
    "title_canon_sha256": "c8df075f982f390274409df07fc027d38d48b9335ae0f4d8e78f73056a13690b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0061",
    "kind": "arxiv",
    "version": 4
  }
}