Pith Number

pith:GXWKJPJN

pith:2015:GXWKJPJNW5MTWSVP6OSSOGRBSB

not attested not anchored not stored refs pending

Numerical semigroups on compound sequences

Christopher O'Neill, Claire Kiers, Vadim Ponomarenko

arxiv:1503.05993 v3 · 2015-03-20 · 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{GXWKJPJNW5MTWSVP6OSSOGRBSB}

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	2026-05-18T00:08:16.499610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35eca4bd2db7593b4aaff3a5271a2190593203db399a7ff5c0ec7831a3f77e70

Aliases

arxiv: 1503.05993 · arxiv_version: 1503.05993v3 · doi: 10.48550/arxiv.1503.05993 · pith_short_12: GXWKJPJNW5MT · pith_short_16: GXWKJPJNW5MTWSVP · pith_short_8: GXWKJPJN

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/GXWKJPJNW5MTWSVP6OSSOGRBSB \
  | 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: 35eca4bd2db7593b4aaff3a5271a2190593203db399a7ff5c0ec7831a3f77e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d91d630eba62ce8ed552b877b463bc1f2ad968dba428b88d04b00a1bcdfa34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-20T05:13:52Z",
    "title_canon_sha256": "2692ad50a4d874aa110649f032662468368382f25236b7cae638917fd37ef7f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05993",
    "kind": "arxiv",
    "version": 3
  }
}