Pith Number

pith:3ZFRWBHT

pith:2010:3ZFRWBHTPWVPNDOSASLG5Z4WQ4

not attested not anchored not stored refs pending

Degree estimate for subalgebras

Jie-Tai Yu, Yunchang Li

arxiv:1010.3502 v1 · 2010-10-18 · 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{3ZFRWBHTPWVPNDOSASLG5Z4WQ4}

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	2026-05-18T04:39:08.978027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4b1b04f37daaf68dd204966ee79687309486b2acbfd01c9d3193ba1ab4d942

Aliases

arxiv: 1010.3502 · arxiv_version: 1010.3502v1 · doi: 10.48550/arxiv.1010.3502 · pith_short_12: 3ZFRWBHTPWVP · pith_short_16: 3ZFRWBHTPWVPNDOS · pith_short_8: 3ZFRWBHT

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/3ZFRWBHTPWVPNDOSASLG5Z4WQ4 \
  | 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: de4b1b04f37daaf68dd204966ee79687309486b2acbfd01c9d3193ba1ab4d942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac75a2b425fbb4c80bc825a2b865c2e495ab68f3fefa3d8a257d5c7433e53ea3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-10-18T07:21:52Z",
    "title_canon_sha256": "f5afdddd3c54c4e5d7bc31bf40966457006b96ae8aaffcceca0760e6af46006f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3502",
    "kind": "arxiv",
    "version": 1
  }
}