Pith Number

pith:OCHIVBHG

pith:2009:OCHIVBHGNMN2RRMRAD3J6YSTU6

not attested not anchored not stored refs pending

Injective Modules over Down-Up Algebras

Christian Lomp, Dilek Pusat-Yilmaz, Paula A.A.B. Carvalho

arxiv:0906.2930 v1 · 2009-06-16 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCHIVBHGNMN2RRMRAD3J6YSTU6}

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	2026-05-18T03:32:45.862625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

708e8a84e66b1ba8c59100f69f6253a7973dda174d1cd29031b0d7740d9c0939

Aliases

arxiv: 0906.2930 · arxiv_version: 0906.2930v1 · doi: 10.48550/arxiv.0906.2930 · pith_short_12: OCHIVBHGNMN2 · pith_short_16: OCHIVBHGNMN2RRMR · pith_short_8: OCHIVBHG

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/OCHIVBHGNMN2RRMRAD3J6YSTU6 \
  | 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: 708e8a84e66b1ba8c59100f69f6253a7973dda174d1cd29031b0d7740d9c0939

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43882d48ff595010c446902658307a130e161eac529f3eae4df51b52d9d53887",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-06-16T13:36:53Z",
    "title_canon_sha256": "ac00c403a8d0d1fbfebb4fbd2acdb7e95e8fc2cf5aa1b759b63da65d19c81e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2930",
    "kind": "arxiv",
    "version": 1
  }
}