Pith Number

pith:GZACZEN6

pith:2009:GZACZEN6TIPCMIGZ72F5FRZ4RU

not attested not anchored not stored refs pending

Commuting elements in central products of special unitary groups

Alejandro Adem, Frederick R. Cohen, Jose Manuel Gomez

arxiv:0905.2895 v2 · 2009-05-18 · math.AT · 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{GZACZEN6TIPCMIGZ72F5FRZ4RU}

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	2026-05-18T04:39:51.400055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36402c91be9a1e2620d9fe8bd2c73c8d06806aba148116d153e7d47c65d28b3f

Aliases

arxiv: 0905.2895 · arxiv_version: 0905.2895v2 · doi: 10.48550/arxiv.0905.2895 · pith_short_12: GZACZEN6TIPC · pith_short_16: GZACZEN6TIPCMIGZ · pith_short_8: GZACZEN6

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/GZACZEN6TIPCMIGZ72F5FRZ4RU \
  | 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: 36402c91be9a1e2620d9fe8bd2c73c8d06806aba148116d153e7d47c65d28b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7049c81b66f251d4c2b2130dd24aa38a2f91aeaea3c171eccfc6844adcf24e0e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-05-18T14:25:39Z",
    "title_canon_sha256": "db67a45bd7669a202832ddfe671f5a7b1ac780be8e2fd1737ab93290248b521b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2895",
    "kind": "arxiv",
    "version": 2
  }
}