Pith Number

pith:COCFSDEN

pith:2009:COCFSDENE2XZTF56QEGGROY6M6

not attested not anchored not stored refs pending

The space of finitely generated rings

Yves Cornulier

arxiv:0904.4216 v1 · 2009-04-27 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COCFSDENE2XZTF56QEGGROY6M6}

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	2026-05-18T04:42:43.342718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1384590c8d26af9997be810c68bb1e679ef532c621bc5dcd7c8caabe0c35fa23

Aliases

arxiv: 0904.4216 · arxiv_version: 0904.4216v1 · doi: 10.48550/arxiv.0904.4216 · pith_short_12: COCFSDENE2XZ · pith_short_16: COCFSDENE2XZTF56 · pith_short_8: COCFSDEN

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/COCFSDENE2XZTF56QEGGROY6M6 \
  | 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: 1384590c8d26af9997be810c68bb1e679ef532c621bc5dcd7c8caabe0c35fa23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a33883ce7b1a1a3fcc2cbe68a174d06bd8e89d16fcbd491728604563c0ab438c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-04-27T17:11:10Z",
    "title_canon_sha256": "cf5e9d6e706e76022e513b4c4ba6301528fe157f2f1f897cf81d207933319d00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4216",
    "kind": "arxiv",
    "version": 1
  }
}