Pith Number

pith:J5T4NLK7

pith:2018:J5T4NLK7QAU27DFRZNEEMSPDCP

not attested not anchored not stored refs pending

Perfect Isometries Between Blocks of Complex Reflection Groups

Jean-Baptiste Gramain, Olivier Brunat

arxiv:1808.02869 v1 · 2018-08-08 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5T4NLK7QAU27DFRZNEEMSPDCP}

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	2026-05-18T00:08:31.949692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f67c6ad5f8029af8cb1cb484649e313f9bcd6594eeb485413ec190b976c45db

Aliases

arxiv: 1808.02869 · arxiv_version: 1808.02869v1 · doi: 10.48550/arxiv.1808.02869 · pith_short_12: J5T4NLK7QAU2 · pith_short_16: J5T4NLK7QAU27DFR · pith_short_8: J5T4NLK7

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/J5T4NLK7QAU27DFRZNEEMSPDCP \
  | 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: 4f67c6ad5f8029af8cb1cb484649e313f9bcd6594eeb485413ec190b976c45db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e4b43f3e28488062225d3ccf4ae95adc0d16d8c072b306fd7b911a9fc79a59a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-08-08T17:16:07Z",
    "title_canon_sha256": "9d0cec8ce7aa47c22412f806271d3758bbdfbea1b79430e9a437f9e3a8ffc3ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02869",
    "kind": "arxiv",
    "version": 1
  }
}