Pith Number

pith:HMNHXAOO

pith:2025:HMNHXAOOPX5ASWHEH53AXV27T3

not attested not anchored not stored refs pending

An Early History of Toric Ideals

Serkan Ho\c{s}ten

arxiv:2505.18443 v1 · 2025-05-24 · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMNHXAOOPX5ASWHEH53AXV27T3}

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.

Cited by

1 paper in Pith

Copositive Matrices with Ordered Off-Diagonal Entries

Receipt and verification

First computed	2026-07-05T11:08:46.559811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b1a7b81ce7dfa0958e43f760bd75f9ef96874c006730c663e0386b82b99354d

Aliases

arxiv: 2505.18443 · arxiv_version: 2505.18443v1 · doi: 10.48550/arxiv.2505.18443 · pith_short_12: HMNHXAOOPX5A · pith_short_16: HMNHXAOOPX5ASWHE · pith_short_8: HMNHXAOO

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/HMNHXAOOPX5ASWHEH53AXV27T3 \
  | 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: 3b1a7b81ce7dfa0958e43f760bd75f9ef96874c006730c663e0386b82b99354d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd254089146c336d2473b355afe0c5446fe3e4287c74c9dc48ab648d1af32a5e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-05-24T00:56:07Z",
    "title_canon_sha256": "5485cc8e01ed7827d730fa19915f10438886d71e1bacd755c7b1aac9acc4a130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.18443",
    "kind": "arxiv",
    "version": 1
  }
}