Pith Number

pith:UC6HNCXE

pith:2022:UC6HNCXELZA6BRM4WEZNN4PCZ2

not attested not anchored not stored refs pending

Hadamard Products and Binomial Ideals

Adam Van Tuyl, Adrian Cook, B\"u\c{s}ra Atar, Jay Yang, Jenna Rajchgot, Kieran Bhaskara, Megumi Harada, Runyue Wang, Sergio Da Silva

arxiv:2211.14210 v1 · 2022-11-25 · 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{UC6HNCXELZA6BRM4WEZNN4PCZ2}

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	2026-07-05T05:19:30.595987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0bc768ae45e41e0c59cb132d6f1e2ceaf12f4fbb2955f47221209e798aad196

Aliases

arxiv: 2211.14210 · arxiv_version: 2211.14210v1 · doi: 10.48550/arxiv.2211.14210 · pith_short_12: UC6HNCXELZA6 · pith_short_16: UC6HNCXELZA6BRM4 · pith_short_8: UC6HNCXE

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/UC6HNCXELZA6BRM4WEZNN4PCZ2 \
  | 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: a0bc768ae45e41e0c59cb132d6f1e2ceaf12f4fbb2955f47221209e798aad196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e888655d147d238b2af0e86c8eca00865eca58c5829889a999543dcf161b429a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-11-25T16:19:47Z",
    "title_canon_sha256": "f198b4c3a6f9182f7ec861305ebd8c49bd4a12376de781a35e3f0683bc755365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.14210",
    "kind": "arxiv",
    "version": 1
  }
}