Pith Number

pith:NZZZVSN7

pith:2012:NZZZVSN7E4W5CNGCVHQYTEVPJK

not attested not anchored not stored refs pending

Imaginary cone and reflection subgroups of Coxeter groups

Matthew Dyer

arxiv:1210.5206 v2 · 2012-10-18 · math.RT · 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{NZZZVSN7E4W5CNGCVHQYTEVPJK}

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	2026-05-18T03:29:16.029732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e739ac9bf272dd134c2a9e18992af4a93963cfe8a2d026e41c5b7ee0b5bd308

Aliases

arxiv: 1210.5206 · arxiv_version: 1210.5206v2 · doi: 10.48550/arxiv.1210.5206 · pith_short_12: NZZZVSN7E4W5 · pith_short_16: NZZZVSN7E4W5CNGC · pith_short_8: NZZZVSN7

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/NZZZVSN7E4W5CNGCVHQYTEVPJK \
  | 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: 6e739ac9bf272dd134c2a9e18992af4a93963cfe8a2d026e41c5b7ee0b5bd308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f01735f5760f00d0af4a7bf1a7c4bba94c9764fd2bb05c23c812e142de17fae",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-18T17:51:05Z",
    "title_canon_sha256": "bf395cfaa645e9f43b8af6bdcd418cc84aa138336009cd1aeeec23ed022f747d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5206",
    "kind": "arxiv",
    "version": 2
  }
}