Pith Number

pith:JAQXI7VO

pith:2026:JAQXI7VOZM5YDOBCKEX25HVI3Q

not attested not anchored not stored refs pending

Nearly Gorenstein and almost symmetric properties in shifted numerical semigroups

Dumitru I. Stamate, Francesco Strazzanti

arxiv:2601.19629 v2 · 2026-01-27 · 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{JAQXI7VOZM5YDOBCKEX25HVI3Q}

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	2026-07-07T02:17:17.367201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4821747eaecb3b81b822512fae9ea8dc2dc7411003aa155005ec7246279c8a8e

Aliases

arxiv: 2601.19629 · arxiv_version: 2601.19629v2 · doi: 10.48550/arxiv.2601.19629 · pith_short_12: JAQXI7VOZM5Y · pith_short_16: JAQXI7VOZM5YDOBC · pith_short_8: JAQXI7VO

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/JAQXI7VOZM5YDOBCKEX25HVI3Q \
  | 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: 4821747eaecb3b81b822512fae9ea8dc2dc7411003aa155005ec7246279c8a8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d25993f46f8b5ef058712e1c2e2db5dab78fe357dca72d4b9d6094a72c998923",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-01-27T14:08:26Z",
    "title_canon_sha256": "f07574e586e28e668979fb6c141e56ff7df6db58066c6f56bb28783883e0b8e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.19629",
    "kind": "arxiv",
    "version": 2
  }
}