Pith Number

pith:NWQFOXDB

pith:2012:NWQFOXDBF5KZ526GZX5ILVSNRH

not attested not anchored not stored refs pending

The dimension of a subcategory of modules

Hailong Dao, Ryo Takahashi

arxiv:1203.1955 v3 · 2012-03-08 · math.AC · 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{NWQFOXDBF5KZ526GZX5ILVSNRH}

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	2026-05-18T01:35:12.689066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6da0575c612f559eebc6cdfa85d64d89ceaf71c5b647f5c9c3301b1047629e92

Aliases

arxiv: 1203.1955 · arxiv_version: 1203.1955v3 · doi: 10.48550/arxiv.1203.1955 · pith_short_12: NWQFOXDBF5KZ · pith_short_16: NWQFOXDBF5KZ526G · pith_short_8: NWQFOXDB

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/NWQFOXDBF5KZ526GZX5ILVSNRH \
  | 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: 6da0575c612f559eebc6cdfa85d64d89ceaf71c5b647f5c9c3301b1047629e92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b7b06196370b5d4e48f429c7b397b134c05efd72ca820b1bd58daab5d6cb9a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-03-08T22:51:50Z",
    "title_canon_sha256": "daea66102d5dce5f511555eb2464b64e7790bf90df26882b61e8f14e77b762a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1955",
    "kind": "arxiv",
    "version": 3
  }
}