Pith Number

pith:5FG5MJLL

pith:2017:5FG5MJLL7JTK66O7TDH6H7MQF7

not attested not anchored not stored refs pending

On multiplicative dependence of values of rational functions and a generalisation of the Northcott theorem

Alina Ostafe, Igor E. Shparlinski, Min Sha, Umberto Zannier

arxiv:1706.05874 v5 · 2017-06-19 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FG5MJLL7JTK66O7TDH6H7MQF7}

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	2026-05-18T00:16:50.708196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e94dd6256bfa66af79df98cfe3fd902fd81d53927cdc10a6c8d02d4a0d91523f

Aliases

arxiv: 1706.05874 · arxiv_version: 1706.05874v5 · doi: 10.48550/arxiv.1706.05874 · pith_short_12: 5FG5MJLL7JTK · pith_short_16: 5FG5MJLL7JTK66O7 · pith_short_8: 5FG5MJLL

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/5FG5MJLL7JTK66O7TDH6H7MQF7 \
  | 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: e94dd6256bfa66af79df98cfe3fd902fd81d53927cdc10a6c8d02d4a0d91523f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9afde6ab739ad80883f380d7f7698112af48c0e089a38313a01dbc04b02243e7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-19T10:50:24Z",
    "title_canon_sha256": "bfff95f2cb547fba807230b21e6f22928b93b431d1168f4344b2752c9f640e36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05874",
    "kind": "arxiv",
    "version": 5
  }
}