Pith Number

pith:EX4NG3BW

pith:2017:EX4NG3BW3BDQTU7AK7NMIAJHCF

not attested not anchored not stored refs pending

Cohen-Macaulay Property of pinched Veronese Rings

Ivan Martino, Ornella Greco

arxiv:1709.10461 v2 · 2017-09-29 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EX4NG3BW3BDQTU7AK7NMIAJHCF}

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	2026-05-18T00:23:21.131188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25f8d36c36d84709d3e057dac401271161880be660d942ee238f8d9c9e7cc9cc

Aliases

arxiv: 1709.10461 · arxiv_version: 1709.10461v2 · doi: 10.48550/arxiv.1709.10461 · pith_short_12: EX4NG3BW3BDQ · pith_short_16: EX4NG3BW3BDQTU7A · pith_short_8: EX4NG3BW

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/EX4NG3BW3BDQTU7AK7NMIAJHCF \
  | 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: 25f8d36c36d84709d3e057dac401271161880be660d942ee238f8d9c9e7cc9cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70700fbfaa63c160650fa28aaa76733af70bf265a8a9af4b6b7d08ec17f51d16",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-09-29T15:45:27Z",
    "title_canon_sha256": "f5631837af47f685dbfdc3ba2fbdcf64f8cd6cb734bd000b731594e2cd36a2d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10461",
    "kind": "arxiv",
    "version": 2
  }
}