Pith Number

pith:FCRDPALP

pith:2013:FCRDPALPKAWY35PLZXRYUGS4TS

not attested not anchored not stored refs pending

On types of matrices and centralizers of matrices and permutations

John R. Britnell, Mark Wildon

arxiv:1310.5261 v1 · 2013-10-19 · 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{FCRDPALPKAWY35PLZXRYUGS4TS}

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	2026-05-18T03:09:46.269094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a237816f502d8df5ebcde38a1a5c9cb929d555bae4d7d9973c4694c71c1308

Aliases

arxiv: 1310.5261 · arxiv_version: 1310.5261v1 · doi: 10.48550/arxiv.1310.5261 · pith_short_12: FCRDPALPKAWY · pith_short_16: FCRDPALPKAWY35PL · pith_short_8: FCRDPALP

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/FCRDPALPKAWY35PLZXRYUGS4TS \
  | 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: 28a237816f502d8df5ebcde38a1a5c9cb929d555bae4d7d9973c4694c71c1308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0decae856d8895abe08959f0465d0dd26404589a218f448c29d9feb76e5d6c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-19T18:56:58Z",
    "title_canon_sha256": "4c21a2549aac6923e516137025dec736109d16a3760cfdedd6232efd23ce6e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5261",
    "kind": "arxiv",
    "version": 1
  }
}