Pith Number

pith:646F5IFZ

pith:2020:646F5IFZG7ZLYCJQLLD3A4BZK2

not attested not anchored not stored refs pending

Restriction of Scalars Chabauty and the $S$-unit equation

Nicholas Triantafillou

arxiv:2006.10590 v2 · 2020-06-18 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{646F5IFZG7ZLYCJQLLD3A4BZK2}

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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

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields

Receipt and verification

First computed	2026-07-05T02:52:57.406000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f73c5ea0b937f2bc09305ac7b0703956918462e48e18bb9ed67b896291f53ccd

Aliases

arxiv: 2006.10590 · arxiv_version: 2006.10590v2 · doi: 10.48550/arxiv.2006.10590 · pith_short_12: 646F5IFZG7ZL · pith_short_16: 646F5IFZG7ZLYCJQ · pith_short_8: 646F5IFZ

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/646F5IFZG7ZLYCJQLLD3A4BZK2 \
  | 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: f73c5ea0b937f2bc09305ac7b0703956918462e48e18bb9ed67b896291f53ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e94cb99b6f040bf7b1e32348d91fc82eb104c99264534ed614b8b31041f13386",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-06-18T14:54:47Z",
    "title_canon_sha256": "c803afc9aa7e23900bcf0a492859c21c40e6d14422a19ac570766a84467e5fe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.10590",
    "kind": "arxiv",
    "version": 2
  }
}