Pith Number

pith:MKW4OJUI

pith:2018:MKW4OJUITHS4DZUJATDVXZYKZN

not attested not anchored not stored refs pending

Fiber cones, analytic spreads of the canonical and anticanonical ideals and limit Frobenius complexity of Hibi rings

Mitsuhiro Miyazaki

arxiv:1804.01046 v3 · 2018-04-03 · 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{MKW4OJUITHS4DZUJATDVXZYKZN}

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	2026-05-17T23:48:55.622087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62adc7268899e5c1e68904c75be70acb5481d478d3cf39ecac8a01f2ac730490

Aliases

arxiv: 1804.01046 · arxiv_version: 1804.01046v3 · doi: 10.48550/arxiv.1804.01046 · pith_short_12: MKW4OJUITHS4 · pith_short_16: MKW4OJUITHS4DZUJ · pith_short_8: MKW4OJUI

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/MKW4OJUITHS4DZUJATDVXZYKZN \
  | 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: 62adc7268899e5c1e68904c75be70acb5481d478d3cf39ecac8a01f2ac730490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e094e773e0328d3bbf59179a007de514da70a2e9ed9d52566dbf29e633c9b4da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-04-03T15:52:43Z",
    "title_canon_sha256": "0253439f4603d669161e3e9bf7c7b3271816f564d6ad5f44e07aaa6f76a4c0a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01046",
    "kind": "arxiv",
    "version": 3
  }
}