Pith Number

pith:MKVUB6NQ

pith:2022:MKVUB6NQAT4RFQ3JARQZTM4OQX

not attested not anchored not stored refs pending

Effective multiplicative independence of 3 singular moduli

Emanuele Tron, Sanoli Gun, Yuri Bilu

arxiv:2207.05183 v4 · 2022-07-11 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKVUB6NQAT4RFQ3JARQZTM4OQX}

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.

Cited by

1 paper in Pith

Some uniform effective results on Andr\'{e}--Oort for sums of powers in $\mathbb{C}^n$

Receipt and verification

First computed	2026-05-27T14:06:32.607598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62ab40f9b004f912c369046199b38e85c1611b7a3e267a51879e0ddf8db6b6de

Aliases

arxiv: 2207.05183 · arxiv_version: 2207.05183v4 · doi: 10.48550/arxiv.2207.05183 · pith_short_12: MKVUB6NQAT4R · pith_short_16: MKVUB6NQAT4RFQ3J · pith_short_8: MKVUB6NQ

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/MKVUB6NQAT4RFQ3JARQZTM4OQX \
  | 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: 62ab40f9b004f912c369046199b38e85c1611b7a3e267a51879e0ddf8db6b6de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8265595742099d813e80b73c1df4d5951e8a4273c6b8c6c4e74188f1943aa5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-11T20:45:07Z",
    "title_canon_sha256": "8ba99dcec964c51d0410aef2404916838a93cce1188b871130300d96824e7bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.05183",
    "kind": "arxiv",
    "version": 4
  }
}