Pith Number

pith:KP6Y3RPZ

pith:2013:KP6Y3RPZVS3RKNZDGBF6GLFDNC

not attested not anchored not stored refs pending

On monomial ideals whose Lyubeznik resolution is minimal

Houyi Yu, Jin Guo, Tongsuo Wu

arxiv:1312.0321 v1 · 2013-12-02 · 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{KP6Y3RPZVS3RKNZDGBF6GLFDNC}

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	2026-05-18T03:05:46.063086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53fd8dc5f9acb7153723304be32ca368832aaa6d74fd8483f546267d8eca8704

Aliases

arxiv: 1312.0321 · arxiv_version: 1312.0321v1 · doi: 10.48550/arxiv.1312.0321 · pith_short_12: KP6Y3RPZVS3R · pith_short_16: KP6Y3RPZVS3RKNZD · pith_short_8: KP6Y3RPZ

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/KP6Y3RPZVS3RKNZDGBF6GLFDNC \
  | 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: 53fd8dc5f9acb7153723304be32ca368832aaa6d74fd8483f546267d8eca8704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cc7daf0c8c415e2fd2f7549b8993b2eaef8f1cc8c5a8f7f1d4242d7cacc8e06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-12-02T04:06:32Z",
    "title_canon_sha256": "c85b8c1774e5730cffbda437cdc40edfc394b32148d2abdc22c5b3dbfbc21d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0321",
    "kind": "arxiv",
    "version": 1
  }
}