Pith Number

pith:ZV3WT5QL

pith:2017:ZV3WT5QLCT2RDMYP5BKLIIZB3R

not attested not anchored not stored refs pending

Dilatations of numerical semigroups

Francesco Strazzanti, Valentina Barucci

arxiv:1710.07586 v1 · 2017-10-20 · 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{ZV3WT5QLCT2RDMYP5BKLIIZB3R}

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	2026-05-18T00:32:24.433803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd7769f60b14f511b30fe854b42321dc7bc25d76dc584e43e1a7eb24ae920869

Aliases

arxiv: 1710.07586 · arxiv_version: 1710.07586v1 · doi: 10.48550/arxiv.1710.07586 · pith_short_12: ZV3WT5QLCT2R · pith_short_16: ZV3WT5QLCT2RDMYP · pith_short_8: ZV3WT5QL

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/ZV3WT5QLCT2RDMYP5BKLIIZB3R \
  | 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: cd7769f60b14f511b30fe854b42321dc7bc25d76dc584e43e1a7eb24ae920869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef2cd457faebc8a4d058cb701a5a60dde3a9365db0542fc5285afd865ca89d48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-10-20T16:01:36Z",
    "title_canon_sha256": "a85c08c052ea71e553ed97fe464d5799bbfc2132d1a3cfcfddcf87d1f05526d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07586",
    "kind": "arxiv",
    "version": 1
  }
}