Pith Number

pith:DUXXSE6I

pith:2019:DUXXSE6IZQM5QRROWG3DH4W4PV

not attested not anchored not stored refs pending

Castelnuovo-Mumford regularity of representations of certain product categories

Liping Li, Wee Liang Gan

arxiv:1903.08317 v3 · 2019-03-20 · math.RT · math.KT · 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{DUXXSE6IZQM5QRROWG3DH4W4PV}

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	2026-07-05T00:32:11.788141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d2f7913c8cc19d8462eb1b633f2dc7d7d19bf7c7b613dec7179f911624f5f26

Aliases

arxiv: 1903.08317 · arxiv_version: 1903.08317v3 · doi: 10.48550/arxiv.1903.08317 · pith_short_12: DUXXSE6IZQM5 · pith_short_16: DUXXSE6IZQM5QRRO · pith_short_8: DUXXSE6I

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/DUXXSE6IZQM5QRROWG3DH4W4PV \
  | 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: 1d2f7913c8cc19d8462eb1b633f2dc7d7d19bf7c7b613dec7179f911624f5f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ef2b2eef4db22c30e94422cff521c9d190a690feb99c8a6c9f2e2acb08652bf",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-03-20T02:15:30Z",
    "title_canon_sha256": "fbb321dc42be004bfeb3d9646b287780b1184e82b69e1a19705b7b61aa12930c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08317",
    "kind": "arxiv",
    "version": 3
  }
}