Pith Number

pith:4GVKQGZB

pith:2018:4GVKQGZBSGDAS5M3VK3YSATPJG

not attested not anchored not stored refs pending

Symbolic and Ordinary Powers of Ideals in Hibi Rings

Daniel Smolkin, Janet Page, Kevin Tucker

arxiv:1810.00149 v1 · 2018-09-29 · 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{4GVKQGZBSGDAS5M3VK3YSATPJG}

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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.

Cited by

1 paper in Pith

Diagonal F-splitting and Symbolic Powers of Ideals

Receipt and verification

First computed	2026-05-18T00:04:28.657747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1aaa81b21918609759baab789026f49a2948a8b8ca2548c496bcd5f986721fa

Aliases

arxiv: 1810.00149 · arxiv_version: 1810.00149v1 · doi: 10.48550/arxiv.1810.00149 · pith_short_12: 4GVKQGZBSGDA · pith_short_16: 4GVKQGZBSGDAS5M3 · pith_short_8: 4GVKQGZB

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/4GVKQGZBSGDAS5M3VK3YSATPJG \
  | 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: e1aaa81b21918609759baab789026f49a2948a8b8ca2548c496bcd5f986721fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23996dcbf22ada472feaa7255211e933e68b1dafa856dfba684b3983daa2e106",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-09-29T04:54:48Z",
    "title_canon_sha256": "c222382175d1147afc8c7635dd879256751712c4cd36b1a92b189d35829420f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00149",
    "kind": "arxiv",
    "version": 1
  }
}