Pith Number

pith:A2HPC745

pith:2020:A2HPC745OYYC6BD5YOXS4ZDA6Q

not attested not anchored not stored refs pending

On the arithmetic Cohen-Macaulayness of varieties parameterized by Togliatti systems

Emilia Mezzetti, Liena Colarte-G\'omez, Rosa M. Mir\'o-Roig

arxiv:2012.01958 v2 · 2020-12-03 · 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{A2HPC745OYYC6BD5YOXS4ZDA6Q}

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	2026-07-05T02:00:51.262743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

068ef17f9d76302f047dc3af2e6460f405f05ce8a8336fc33b8163ef4dfd159c

Aliases

arxiv: 2012.01958 · arxiv_version: 2012.01958v2 · doi: 10.48550/arxiv.2012.01958 · pith_short_12: A2HPC745OYYC · pith_short_16: A2HPC745OYYC6BD5 · pith_short_8: A2HPC745

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/A2HPC745OYYC6BD5YOXS4ZDA6Q \
  | 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: 068ef17f9d76302f047dc3af2e6460f405f05ce8a8336fc33b8163ef4dfd159c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd7becfd50faf3cd2267ce1f08c8c52d6baf56fc7b12697439456648f05d572",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-12-03T14:33:26Z",
    "title_canon_sha256": "123e5a1e294dc465a7e276932dd5bffd590da3dd52f504f64a648a129d1b9125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.01958",
    "kind": "arxiv",
    "version": 2
  }
}