Pith Number

pith:R2IJMTCY

pith:2012:R2IJMTCYR22ALJF3BDBXQVW4DP

not attested not anchored not stored refs pending

Eigenspace arrangements of reflection groups

Alexander R. Miller

arxiv:1208.1944 v1 · 2012-08-09 · math.CO · math.AT · 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{R2IJMTCYR22ALJF3BDBXQVW4DP}

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	2026-05-18T03:49:09.630794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e90964c588eb405a4bb08c37856dc1bff6991749d77a6bb03f73bd44c046550

Aliases

arxiv: 1208.1944 · arxiv_version: 1208.1944v1 · doi: 10.48550/arxiv.1208.1944 · pith_short_12: R2IJMTCYR22A · pith_short_16: R2IJMTCYR22ALJF3 · pith_short_8: R2IJMTCY

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/R2IJMTCYR22ALJF3BDBXQVW4DP \
  | 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: 8e90964c588eb405a4bb08c37856dc1bff6991749d77a6bb03f73bd44c046550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c692fd55b1fe9951d68bc0c96637500b025a8c1bac5ed30ea29f2765772447a5",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-09T15:16:53Z",
    "title_canon_sha256": "c130243ea3ab179621d9f66ee5dea8efc00d9516cb8d442b209cfa6255f7e3b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1944",
    "kind": "arxiv",
    "version": 1
  }
}