Pith Number

pith:YOF3HOSS

pith:2018:YOF3HOSSTMHK3ROSIWN5FNDD54

not attested not anchored not stored refs pending

On the maximal graded shifts of ideals and modules

Jason McCullough

arxiv:1801.08194 v1 · 2018-01-24 · 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{YOF3HOSSTMHK3ROSIWN5FNDD54}

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	2026-05-18T00:25:06.875640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38bb3ba529b0eadc5d2459bd2b463ef1cae506ec63baac8abe654a46e528e42

Aliases

arxiv: 1801.08194 · arxiv_version: 1801.08194v1 · doi: 10.48550/arxiv.1801.08194 · pith_short_12: YOF3HOSSTMHK · pith_short_16: YOF3HOSSTMHK3ROS · pith_short_8: YOF3HOSS

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/YOF3HOSSTMHK3ROSIWN5FNDD54 \
  | 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: c38bb3ba529b0eadc5d2459bd2b463ef1cae506ec63baac8abe654a46e528e42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57bec97c057bdd63b70dd7e90b048db2cf406bb0aeedbdda9da481f789f8cee4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-01-24T21:05:12Z",
    "title_canon_sha256": "1424635e1179026f015303f993716c5999d5294fa3235dad5ee9897bb2811bf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08194",
    "kind": "arxiv",
    "version": 1
  }
}