Pith Number

pith:TSDE2XQ3

pith:2010:TSDE2XQ3MNRUOLLWMZGJNX2RDV

not attested not anchored not stored refs pending

Applications of degree estimate for subalgebras

Jie-Tai Yu, Yun-Chang Li

arxiv:1011.6551 v1 · 2010-11-30 · math.RA · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSDE2XQ3MNRUOLLWMZGJNX2RDV}

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	2026-05-18T04:34:26.641097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c864d5e1b6363472d76664c96df511d50162d0039519e676778931d581a566a

Aliases

arxiv: 1011.6551 · arxiv_version: 1011.6551v1 · doi: 10.48550/arxiv.1011.6551 · pith_short_12: TSDE2XQ3MNRU · pith_short_16: TSDE2XQ3MNRUOLLW · pith_short_8: TSDE2XQ3

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/TSDE2XQ3MNRUOLLWMZGJNX2RDV \
  | 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: 9c864d5e1b6363472d76664c96df511d50162d0039519e676778931d581a566a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83bb7da5742f2dbd67c854491226e73904825941280efd08d3525cd5ba8b58e3",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-11-30T14:13:20Z",
    "title_canon_sha256": "a69372ca8cf470b094c562da60903dd148336e09d8ee76916fa703c07bab9fe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6551",
    "kind": "arxiv",
    "version": 1
  }
}