Pith Number

pith:4OHPHWMV

pith:2018:4OHPHWMV4S26RK72YMLW4R3JI3

not attested not anchored not stored refs pending

Openness of the regular locus and generators for module categories

Ryo Takahashi, Srikanth B. Iyengar

arxiv:1808.03678 v1 · 2018-08-10 · 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{4OHPHWMV4S26RK72YMLW4R3JI3}

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	2026-05-18T00:08:20.053641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38ef3d995e4b5e8abfac3176e476946f225a4ad13124c1a65f2a0a57161d38b

Aliases

arxiv: 1808.03678 · arxiv_version: 1808.03678v1 · doi: 10.48550/arxiv.1808.03678 · pith_short_12: 4OHPHWMV4S26 · pith_short_16: 4OHPHWMV4S26RK72 · pith_short_8: 4OHPHWMV

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/4OHPHWMV4S26RK72YMLW4R3JI3 \
  | 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: e38ef3d995e4b5e8abfac3176e476946f225a4ad13124c1a65f2a0a57161d38b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37e60146a574e1b6b3fd369f8d431c0e684fc4ca39339394d2ba30459f8fc010",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-08-10T19:12:06Z",
    "title_canon_sha256": "368c953edc1e84292d676b388ef90f9cfb642b254d0fa0465bd32bb2a62702ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03678",
    "kind": "arxiv",
    "version": 1
  }
}