Pith Number

pith:YMKOVWEZ

pith:2007:YMKOVWEZJVGUIJ57IJVZNFSZN2

not attested not anchored not stored refs pending

Finite-dimensional modules for the polynomial ring in one variable as a vertex algebra

Kenichiro Tanabe

arxiv:0709.0188 v1 · 2007-09-03 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMKOVWEZJVGUIJ57IJVZNFSZN2}

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	2026-05-18T03:04:24.507762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c314ead8994d4d4427bf426b9696596eac47cae30d595ae1ef2f95ff9211a2ab

Aliases

arxiv: 0709.0188 · arxiv_version: 0709.0188v1 · doi: 10.48550/arxiv.0709.0188 · pith_short_12: YMKOVWEZJVGU · pith_short_16: YMKOVWEZJVGUIJ57 · pith_short_8: YMKOVWEZ

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/YMKOVWEZJVGUIJ57IJVZNFSZN2 \
  | 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: c314ead8994d4d4427bf426b9696596eac47cae30d595ae1ef2f95ff9211a2ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa3927edd71093ee1959074894d390a7d317de48d2f6ae160aab74e456dcbc47",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-09-03T11:04:05Z",
    "title_canon_sha256": "7803f97e35648f21cf86388315e6456db2a18520b70a22e45a2274d8fbcc29fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0188",
    "kind": "arxiv",
    "version": 1
  }
}