Pith Number

pith:2FJEMEEK

pith:2015:2FJEMEEKQWQDE4UYRAOXGHLL7C

not attested not anchored not stored refs pending

On divisor-closed submonoids and minimal distances in finitely generated monoids

D. Mar\'in-Arag\'on, J. I. Garc\'ia-Garc\'ia, M. A. Moreno-Fr\'ias

arxiv:1508.07646 v2 · 2015-08-30 · 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{2FJEMEEKQWQDE4UYRAOXGHLL7C}

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	2026-05-18T01:04:53.959019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d15246108a85a0327298881d731d6bf8b35073c62aca85b868046a3a54e3bc74

Aliases

arxiv: 1508.07646 · arxiv_version: 1508.07646v2 · doi: 10.48550/arxiv.1508.07646 · pith_short_12: 2FJEMEEKQWQD · pith_short_16: 2FJEMEEKQWQDE4UY · pith_short_8: 2FJEMEEK

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/2FJEMEEKQWQDE4UYRAOXGHLL7C \
  | 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: d15246108a85a0327298881d731d6bf8b35073c62aca85b868046a3a54e3bc74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e06ac29cb88e6d4718fa37d9044a238394fa13cc023b1d10f090f08c3db7af5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-08-30T23:19:00Z",
    "title_canon_sha256": "29cb52842de4864d7ac56929111e8579706179f908927e87e6dff81e8484321f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07646",
    "kind": "arxiv",
    "version": 2
  }
}