Pith Number

pith:E3BFZKSR

pith:2006:E3BFZKSRK775CY5SFGQ32NSWUH

not attested not anchored not stored refs pending

On Radicals of Module Coalgebras

Kar-Ping Shum, Siu-Hung Ng, Yuqun Chen

arxiv:math/0611660 v1 · 2006-11-22 · math.QA · 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{E3BFZKSRK775CY5SFGQ32NSWUH}

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	2026-05-18T04:08:53.135407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26c25caa5157ffd163b229a1bd3656a1e9bf2e09ad78ba67e3c5d258fc1a780b

Aliases

arxiv: math/0611660 · arxiv_version: math/0611660v1 · doi: 10.48550/arxiv.math/0611660 · pith_short_12: E3BFZKSRK775 · pith_short_16: E3BFZKSRK775CY5S · pith_short_8: E3BFZKSR

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/E3BFZKSRK775CY5SFGQ32NSWUH \
  | 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: 26c25caa5157ffd163b229a1bd3656a1e9bf2e09ad78ba67e3c5d258fc1a780b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "805ef4e4d361d69dae6627f991077c823dabe0860e0738ec9a319237eb3756f4",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-11-22T03:46:25Z",
    "title_canon_sha256": "bd083111386085661fd379851576a74b5c18763ed3a65b405f09496905643f0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611660",
    "kind": "arxiv",
    "version": 1
  }
}