Pith Number

pith:6ABTDYY4

pith:2013:6ABTDYY4QNZ6Y6UGXZVMMABCGW

not attested not anchored not stored refs pending

Centralizers in Ore extensions of polynomial rings

Johan Richter, Sergei Silvestrov

arxiv:1308.3430 v4 · 2013-08-15 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ABTDYY4QNZ6Y6UGXZVMMABCGW}

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	2026-05-17T23:39:59.105110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f00331e31c8373ec7a86be6ac6002235acb315bed60fd8da3362729a333f2cd0

Aliases

arxiv: 1308.3430 · arxiv_version: 1308.3430v4 · doi: 10.48550/arxiv.1308.3430 · pith_short_12: 6ABTDYY4QNZ6 · pith_short_16: 6ABTDYY4QNZ6Y6UG · pith_short_8: 6ABTDYY4

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/6ABTDYY4QNZ6Y6UGXZVMMABCGW \
  | 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: f00331e31c8373ec7a86be6ac6002235acb315bed60fd8da3362729a333f2cd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "556367856702f3c6b1cfa28c972545cf489ad1cbf269ddda49482a53a3495935",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-15T15:15:19Z",
    "title_canon_sha256": "a55cc3d38ae22057e7fcb6e23b3816a7c67be813f20c554d1d4c81295024dfb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3430",
    "kind": "arxiv",
    "version": 4
  }
}