Pith Number

pith:46GFULM4

pith:2019:46GFULM4DPVBCIAIMR6XXGC3VE

not attested not anchored not stored refs pending

Union of sets of lengths of numerical semigroups

A. Vigneron-Tenorio, D. Mar\'in-Arag\'on, J.I. Garc\'ia-Garc\'ia

arxiv:1906.01266 v1 · 2019-06-04 · 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{46GFULM4DPVBCIAIMR6XXGC3VE}

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	2026-05-17T23:44:17.258092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e78c5a2d9c1bea112008647d7b985ba92b55f3dcdddf6658541a3a0922d7ac41

Aliases

arxiv: 1906.01266 · arxiv_version: 1906.01266v1 · doi: 10.48550/arxiv.1906.01266 · pith_short_12: 46GFULM4DPVB · pith_short_16: 46GFULM4DPVBCIAI · pith_short_8: 46GFULM4

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/46GFULM4DPVBCIAIMR6XXGC3VE \
  | 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: e78c5a2d9c1bea112008647d7b985ba92b55f3dcdddf6658541a3a0922d7ac41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "124d4aef53f762e31d567129968615f09e2e90bfef7534bb292925dcb582b848",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-06-04T08:29:05Z",
    "title_canon_sha256": "fdff7ac5b7fcabd4a2d8671081cccf7756e98d72677947f0f4aa5707cccca57d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01266",
    "kind": "arxiv",
    "version": 1
  }
}