Pith Number

pith:4A3R56OI

pith:2018:4A3R56OIBZAJQ53BT4E3EQ7DMH

not attested not anchored not stored refs pending

Maximal Cohen-Macaulay modules over certain Segre products

Linquan Ma

arxiv:1802.04786 v2 · 2018-02-13 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4A3R56OIBZAJQ53BT4E3EQ7DMH}

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	2026-05-18T00:21:45.609164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0371ef9c80e409877619f09b243e361c110741f95c15b97b31a1f4b8e46eae1

Aliases

arxiv: 1802.04786 · arxiv_version: 1802.04786v2 · doi: 10.48550/arxiv.1802.04786 · pith_short_12: 4A3R56OIBZAJ · pith_short_16: 4A3R56OIBZAJQ53B · pith_short_8: 4A3R56OI

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/4A3R56OIBZAJQ53BT4E3EQ7DMH \
  | 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: e0371ef9c80e409877619f09b243e361c110741f95c15b97b31a1f4b8e46eae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b095070aebc60ff76257da72d1eaf798d7566d78c15c9a9d176c13b20c9e0f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-02-13T18:43:47Z",
    "title_canon_sha256": "d008797b0b27da7de11dcbe8e1de447a44a07d3f30d05faabc85507ae9a88132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04786",
    "kind": "arxiv",
    "version": 2
  }
}