Pith Number

pith:6KPHFYF4

pith:2019:6KPHFYF4SFGV6IOBJLVZVNIT6V

not attested not anchored not stored refs pending

Almost symmetric numerical semigroups with odd generators

Francesco Strazzanti, Kei-ichi Watanabe

arxiv:1901.00550 v1 · 2019-01-02 · 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{6KPHFYF4SFGV6IOBJLVZVNIT6V}

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	2026-05-17T23:57:02.166337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f29e72e0bc914d5f21c14aeb9ab513f566e9592a75e2c95924dcbebca3c8bab5

Aliases

arxiv: 1901.00550 · arxiv_version: 1901.00550v1 · doi: 10.48550/arxiv.1901.00550 · pith_short_12: 6KPHFYF4SFGV · pith_short_16: 6KPHFYF4SFGV6IOB · pith_short_8: 6KPHFYF4

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/6KPHFYF4SFGV6IOBJLVZVNIT6V \
  | 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: f29e72e0bc914d5f21c14aeb9ab513f566e9592a75e2c95924dcbebca3c8bab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0370e95c6e8c3ead91980d9dcdd64aceab7467d92651267afed8d1d8bff218eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-01-02T22:34:14Z",
    "title_canon_sha256": "485118ddf6f3e8cbb2e776dafb2280fb7fe502a7e1cd9a7740a39212e1d54e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00550",
    "kind": "arxiv",
    "version": 1
  }
}