Pith Number

pith:EV3MVWII

pith:2004:EV3MVWIIMPLS7CAQZ5OXD37TKH

not attested not anchored not stored refs pending

Parabolic subgroups of Coxeter groups acting by reflections on CAT(0) spaces

Tetsuya Hosaka

arxiv:math/0409472 v2 · 2004-09-24 · 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{EV3MVWIIMPLS7CAQZ5OXD37TKH}

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	2026-05-18T04:34:28.213846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2576cad90863d72f8810cf5d71eff351d52845179259d1d2c6f63c7bc9e89584

Aliases

arxiv: math/0409472 · arxiv_version: math/0409472v2 · doi: 10.48550/arxiv.math/0409472 · pith_short_12: EV3MVWIIMPLS · pith_short_16: EV3MVWIIMPLS7CAQ · pith_short_8: EV3MVWII

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/EV3MVWIIMPLS7CAQZ5OXD37TKH \
  | 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: 2576cad90863d72f8810cf5d71eff351d52845179259d1d2c6f63c7bc9e89584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a2e4775778d30522f15df7f008760632ab4d8fefafc61bfbba7f009c040dca",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2004-09-24T13:55:05Z",
    "title_canon_sha256": "42d7229022594c92aa0eca2f5733b9b937a7e9673702f1faa880a6a2fd2f9977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409472",
    "kind": "arxiv",
    "version": 2
  }
}