Pith Number

pith:75ITJKJO

pith:2003:75ITJKJOHP3Z5ZXZG7PLZ4ZFYI

not attested not anchored not stored refs pending

When does the associated graded Lie algebra of an arrangement group decompose?

Alexander I. Suciu, Stefan Papadima

arxiv:math/0309324 v3 · 2003-09-19 · 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{75ITJKJOHP3Z5ZXZG7PLZ4ZFYI}

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	2026-05-18T04:38:49.097390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff5134a92e3bf79ee6f937debcf325c239eb060f60da9bf27d00b1d3408dcd3f

Aliases

arxiv: math/0309324 · arxiv_version: math/0309324v3 · doi: 10.48550/arxiv.math/0309324 · pith_short_12: 75ITJKJOHP3Z · pith_short_16: 75ITJKJOHP3Z5ZXZ · pith_short_8: 75ITJKJO

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/75ITJKJOHP3Z5ZXZG7PLZ4ZFYI \
  | 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: ff5134a92e3bf79ee6f937debcf325c239eb060f60da9bf27d00b1d3408dcd3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b57cdef733064d58b089a9e099d68ed2990ae6f0ea61fdda748e5d5d8225a44a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-09-19T14:37:03Z",
    "title_canon_sha256": "2ea3438b1c423b66eae84e7371d832946505ed29a219d8795e52902100c4f03a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309324",
    "kind": "arxiv",
    "version": 3
  }
}