Pith Number

pith:DEDU6YVE

pith:2011:DEDU6YVEQJ6COIB7GHNPL6XZ74

not attested not anchored not stored refs pending

$\mathcal K_2$ factors of Koszul algebras and applications to face rings

Andrew Conner, Brad Shelton

arxiv:1109.5211 v1 · 2011-09-23 · 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{DEDU6YVEQJ6COIB7GHNPL6XZ74}

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	2026-05-18T04:12:20.357640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19074f62a4827c27203f31daf5faf9ff36bf9270248f8f7da141f9f0eb9b3eed

Aliases

arxiv: 1109.5211 · arxiv_version: 1109.5211v1 · doi: 10.48550/arxiv.1109.5211 · pith_short_12: DEDU6YVEQJ6C · pith_short_16: DEDU6YVEQJ6COIB7 · pith_short_8: DEDU6YVE

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/DEDU6YVEQJ6COIB7GHNPL6XZ74 \
  | 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: 19074f62a4827c27203f31daf5faf9ff36bf9270248f8f7da141f9f0eb9b3eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427c29a970a8ed3cfbd5d9642df1d995f7de2bd2848231d97ce2e2ef2c3efef2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-23T22:34:59Z",
    "title_canon_sha256": "ddef5996d103e77ba002be1e91f19c50e868962bdecd1820c83ade845c39ecb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5211",
    "kind": "arxiv",
    "version": 1
  }
}