Pith Number

pith:J6JXSVV5

pith:2014:J6JXSVV566GLNLLUZ63A6NVCCC

not attested not anchored not stored refs pending

Modular equalities for complex reflection arrangements

Clement Radu Popescu, Daniela Anca Macinic, Stefan Papadima

arxiv:1406.7137 v2 · 2014-06-27 · math.AG · math.CO · 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{J6JXSVV566GLNLLUZ63A6NVCCC}

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	2026-05-18T00:50:23.500382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f937956bdf78cb6ad74cfb60f36a210970540c447786196d140eebd0d9db707

Aliases

arxiv: 1406.7137 · arxiv_version: 1406.7137v2 · doi: 10.48550/arxiv.1406.7137 · pith_short_12: J6JXSVV566GL · pith_short_16: J6JXSVV566GLNLLU · pith_short_8: J6JXSVV5

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/J6JXSVV566GLNLLUZ63A6NVCCC \
  | 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: 4f937956bdf78cb6ad74cfb60f36a210970540c447786196d140eebd0d9db707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0c91acda1669b1d545b69194c9b8bf38b173d762072edc16761dc70f50c60b",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-06-27T10:08:23Z",
    "title_canon_sha256": "3edb1631ac8ec469e872a26d300489bc60ce06da6c880b3effdfb23385ecb87c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7137",
    "kind": "arxiv",
    "version": 2
  }
}