Pith Number

pith:R63QHC2S

pith:2015:R63QHC2SWIDD4AYQLE2NEYTTRM

not attested not anchored not stored refs pending

Restricting invariants of unitary reflection groups

Angela Berardinelli, Gerhard Roehrle, J. Matthew Douglass, Nils Amend

arxiv:1503.00329 v3 · 2015-03-01 · math.RT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R63QHC2SWIDD4AYQLE2NEYTTRM}

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	2026-05-18T00:57:42.788259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb7038b52b2063e03105934d262738b071fb2d43290111cc32ded96e78aa5ee

Aliases

arxiv: 1503.00329 · arxiv_version: 1503.00329v3 · doi: 10.48550/arxiv.1503.00329 · pith_short_12: R63QHC2SWIDD · pith_short_16: R63QHC2SWIDD4AYQ · pith_short_8: R63QHC2S

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/R63QHC2SWIDD4AYQLE2NEYTTRM \
  | 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: 8fb7038b52b2063e03105934d262738b071fb2d43290111cc32ded96e78aa5ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae707e0105d7cee5d931f7af57acb71e3b44f30eb53c44413619fe8816cbf494",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-03-01T18:53:56Z",
    "title_canon_sha256": "1601240a6f9840223ad2b2de7e4685ca660b5af1e662369879449c6165964a69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00329",
    "kind": "arxiv",
    "version": 3
  }
}