Pith Number

pith:QBBTUY2P

pith:2008:QBBTUY2PTLX4ZQCCSZ67Q7RJ3F

not attested not anchored not stored refs pending

The local recognition of reflection graphs of spherical Coxeter groups

Armin Straub, Jonathan I. Hall, Ralf K\"ohl

arxiv:0808.2173 v2 · 2008-08-15 · 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{QBBTUY2PTLX4ZQCCSZ67Q7RJ3F}

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	2026-05-18T02:20:20.293290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80433a634f9aefccc042967df87e29d97a80a649cd6c70ecfa4324e716fb2cf2

Aliases

arxiv: 0808.2173 · arxiv_version: 0808.2173v2 · doi: 10.48550/arxiv.0808.2173 · pith_short_12: QBBTUY2PTLX4 · pith_short_16: QBBTUY2PTLX4ZQCC · pith_short_8: QBBTUY2P

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/QBBTUY2PTLX4ZQCCSZ67Q7RJ3F \
  | 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: 80433a634f9aefccc042967df87e29d97a80a649cd6c70ecfa4324e716fb2cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe5c5536ab41edf498ecb3818d4364d5b99f231cee6d0b610d23fe59f35e4e19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-08-15T17:45:52Z",
    "title_canon_sha256": "d831ecfb48c3e0471e9186768eff5e79628271859431f3bae76c5ef33b3182eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2173",
    "kind": "arxiv",
    "version": 2
  }
}