Pith Number

pith:HHYJ7VB4

pith:2018:HHYJ7VB4GLG2PXARITH3HLD5Z6

not attested not anchored not stored refs pending

The tree of numerical semigroups with low multiplicity

A. M. Robles-P\'erez, D. Mar\'in-Arag\'on, P. A. Garc\'ia-S\'anchez

arxiv:1803.06879 v1 · 2018-03-19 · math.CO · 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{HHYJ7VB4GLG2PXARITH3HLD5Z6}

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	2026-05-18T00:20:41.002045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39f09fd43c32cda7dc1144cfb3ac7dcfa5d681a97bbe051f1b5eab367e8ce4d1

Aliases

arxiv: 1803.06879 · arxiv_version: 1803.06879v1 · doi: 10.48550/arxiv.1803.06879 · pith_short_12: HHYJ7VB4GLG2 · pith_short_16: HHYJ7VB4GLG2PXAR · pith_short_8: HHYJ7VB4

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/HHYJ7VB4GLG2PXARITH3HLD5Z6 \
  | 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: 39f09fd43c32cda7dc1144cfb3ac7dcfa5d681a97bbe051f1b5eab367e8ce4d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dfbf1a11bed1f4c71a51f55714132578c806ab0266975d8c56e78f5f4f615cd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-19T11:51:48Z",
    "title_canon_sha256": "4f8f4186f94fbd6b839b15d54f3efb20c45e0ab3989478f0d0c92f910ae55a5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06879",
    "kind": "arxiv",
    "version": 1
  }
}