Pith Number

pith:VFLLDYBY

pith:2010:VFLLDYBYMED7GJALRCYM3ER327

not attested not anchored not stored refs pending

On the left perpendicular category of the modules of finite projective dimension

Kei-ichiro Iima, Ryo Takahashi, Tokuji Araya

arxiv:1008.3680 v2 · 2010-08-22 · math.AC · 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{VFLLDYBYMED7GJALRCYM3ER327}

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	2026-05-18T04:23:35.122834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a956b1e0386107f3240b88b0cd923bd7f1ebf5fce4dbd67cb7c4eb13a3d7cf63

Aliases

arxiv: 1008.3680 · arxiv_version: 1008.3680v2 · doi: 10.48550/arxiv.1008.3680 · pith_short_12: VFLLDYBYMED7 · pith_short_16: VFLLDYBYMED7GJAL · pith_short_8: VFLLDYBY

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/VFLLDYBYMED7GJALRCYM3ER327 \
  | 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: a956b1e0386107f3240b88b0cd923bd7f1ebf5fce4dbd67cb7c4eb13a3d7cf63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3151344efc9f568e752ca3af94e850bcf5bed0a237e0a98f17441a10cca87a0",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-22T07:36:16Z",
    "title_canon_sha256": "8c35ee2d161ab0b20ed560e4b5aa142838098f71fe306c8299d0e94e6a3817c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3680",
    "kind": "arxiv",
    "version": 2
  }
}