Pith Number

pith:K4MFBWIC

pith:2013:K4MFBWIC7XR6SJXRLX5C2JN4BT

not attested not anchored not stored refs pending

Burchnall-Chaundy theory for Ore extensions

Johan Richter

arxiv:1309.4415 v2 · 2013-09-17 · 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{K4MFBWIC7XR6SJXRLX5C2JN4BT}

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	2026-05-18T03:07:33.825003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571850d902fde3e926f15dfa2d25bc0cf85dd883a51beb044590a4828b387d9d

Aliases

arxiv: 1309.4415 · arxiv_version: 1309.4415v2 · doi: 10.48550/arxiv.1309.4415 · pith_short_12: K4MFBWIC7XR6 · pith_short_16: K4MFBWIC7XR6SJXR · pith_short_8: K4MFBWIC

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/K4MFBWIC7XR6SJXRLX5C2JN4BT \
  | 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: 571850d902fde3e926f15dfa2d25bc0cf85dd883a51beb044590a4828b387d9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cc56d6795373d60d964288822084460c9dad5f3ec9bf66ae58c9972954732b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-09-17T18:29:35Z",
    "title_canon_sha256": "357df80b0f29c4df67805318d364754ff8513b7acf1f111e70001fe52ec0af03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4415",
    "kind": "arxiv",
    "version": 2
  }
}