Pith Number

pith:VVNNJRRL

pith:2016:VVNNJRRLA5E73572REV5FRG5EA

not attested not anchored not stored refs pending

Numerical semigroups generated by squares, cubes and quartics of three consecutive integers

Leonid G. Fel

arxiv:1608.08693 v1 · 2016-08-31 · 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{VVNNJRRLA5E73572REV5FRG5EA}

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	2026-05-18T01:06:40.170558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5ad4c62b0749fdf7fa892bd2c4dd20314cb8da3a6cfe9d4d731ecdcf44f13a

Aliases

arxiv: 1608.08693 · arxiv_version: 1608.08693v1 · doi: 10.48550/arxiv.1608.08693 · pith_short_12: VVNNJRRLA5E7 · pith_short_16: VVNNJRRLA5E73572 · pith_short_8: VVNNJRRL

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/VVNNJRRLA5E73572REV5FRG5EA \
  | 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: ad5ad4c62b0749fdf7fa892bd2c4dd20314cb8da3a6cfe9d4d731ecdcf44f13a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6886f794ab944ae7b7838c15c517542ea85508d634d2c343b9676b4d20196695",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-08-31T00:13:48Z",
    "title_canon_sha256": "16003074bbfefca2ea58305d6868cf0a2b1a65993e0d81ef7ada7b27165b66f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08693",
    "kind": "arxiv",
    "version": 1
  }
}