Pith Number

pith:6DYF5YSA

pith:2010:6DYF5YSAH6J742PLQX3VVZO6VE

not attested not anchored not stored refs pending

Degenerate two-boundary centralizer algebras

Zajj Daugherty

arxiv:1007.3950 v4 · 2010-07-22 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DYF5YSAH6J742PLQX3VVZO6VE}

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	2026-05-18T04:14:29.553964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0f05ee2403f93fe69eb85f75ae5dea9049c0a05a2dbb335e2b29c992f1f981f

Aliases

arxiv: 1007.3950 · arxiv_version: 1007.3950v4 · doi: 10.48550/arxiv.1007.3950 · pith_short_12: 6DYF5YSAH6J7 · pith_short_16: 6DYF5YSAH6J742PL · pith_short_8: 6DYF5YSA

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/6DYF5YSAH6J742PLQX3VVZO6VE \
  | 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: f0f05ee2403f93fe69eb85f75ae5dea9049c0a05a2dbb335e2b29c992f1f981f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa9f83f313f250b713919145a5d7fcbaed422d2e32e386fa319a60bb71cb0a9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-07-22T17:31:47Z",
    "title_canon_sha256": "577b6fcb97ec3de8664bf7c6e5b00987f424d9f967a336d77c99e4c3ba8b8c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3950",
    "kind": "arxiv",
    "version": 4
  }
}