Pith Number

pith:5QQOCKMI

pith:2024:5QQOCKMI5IQ7L6EPGKP35DLD4C

not attested not anchored not stored refs pending

On maximal common divisors in Puiseux monoids

Alexander Wang, Evin Liang, Lerchen Zhong

arxiv:2410.09251 v1 · 2024-10-11 · 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{5QQOCKMI5IQ7L6EPGKP35DLD4C}

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	2026-07-05T09:19:36.653055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec20e12988ea21f5f88f329fbe8d63e08e9bbfe3b276b9626706315c4bb6cd3e

Aliases

arxiv: 2410.09251 · arxiv_version: 2410.09251v1 · doi: 10.48550/arxiv.2410.09251 · pith_short_12: 5QQOCKMI5IQ7 · pith_short_16: 5QQOCKMI5IQ7L6EP · pith_short_8: 5QQOCKMI

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/5QQOCKMI5IQ7L6EPGKP35DLD4C \
  | 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: ec20e12988ea21f5f88f329fbe8d63e08e9bbfe3b276b9626706315c4bb6cd3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19075edba9690ded14ccafb902af39ea3f9a7837e689e796df4816395e982e43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-10-11T20:57:36Z",
    "title_canon_sha256": "ef661e15b3a33009bb8174519a5884d858208f710b377de338f3ed0ae1c12524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.09251",
    "kind": "arxiv",
    "version": 1
  }
}