Pith Number

pith:MH65KOCB

pith:2019:MH65KOCB2VUCOV6J36NRU5JQG7

not attested not anchored not stored refs pending

Monomial ideals with arbitrarily high tiny powers in any number of variables

Oleksandra Gasanova

arxiv:1908.10702 v2 · 2019-08-28 · 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{MH65KOCB2VUCOV6J36NRU5JQG7}

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	2026-07-05T00:00:35.398794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61fdd53841d5682757c9df9b1a753037e31c404a60fd27efc85fa7446c2a8acd

Aliases

arxiv: 1908.10702 · arxiv_version: 1908.10702v2 · doi: 10.48550/arxiv.1908.10702 · pith_short_12: MH65KOCB2VUC · pith_short_16: MH65KOCB2VUCOV6J · pith_short_8: MH65KOCB

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/MH65KOCB2VUCOV6J36NRU5JQG7 \
  | 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: 61fdd53841d5682757c9df9b1a753037e31c404a60fd27efc85fa7446c2a8acd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5903781286c33a2597e8a10016a76be2dcc30a99d86185945cec31b1957ab7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-08-28T13:05:05Z",
    "title_canon_sha256": "9517eb4987d2f8fae7188243fff8c93be0bc6b6f16756816b3392a7e35290003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10702",
    "kind": "arxiv",
    "version": 2
  }
}