Pith Number

pith:OE3NRZ7B

pith:2025:OE3NRZ7B2UEMOH2LBTX5A2RF6M

not attested not anchored not stored refs pending

Additive Rigidity for $x$-Coordinates of Rational Points on Elliptic Curves

Seokhyun Choi

arxiv:2510.03828 v4 · 2025-10-04 · 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{OE3NRZ7B2UEMOH2LBTX5A2RF6M}

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

2 papers in Pith

A note on Bremner's conjecture and uniformity

Receipt and verification

First computed	2026-05-21T01:05:10.325040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7136d8e7e1d508c71f4b0cefd06a25f33201b28aafe21408205b8d0556ac462a

Aliases

arxiv: 2510.03828 · arxiv_version: 2510.03828v4 · doi: 10.48550/arxiv.2510.03828 · pith_short_12: OE3NRZ7B2UEM · pith_short_16: OE3NRZ7B2UEMOH2L · pith_short_8: OE3NRZ7B

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/OE3NRZ7B2UEMOH2LBTX5A2RF6M \
  | 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: 7136d8e7e1d508c71f4b0cefd06a25f33201b28aafe21408205b8d0556ac462a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2aea45562715240d6f92370c55f25e5ad0c3690650c98954b2f23d7a4188de9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-10-04T14:58:30Z",
    "title_canon_sha256": "0ae2f9393acf6608d1fc663c9dec18f86c5a71d3313c8c98c9d1aa8e49b8b176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.03828",
    "kind": "arxiv",
    "version": 4
  }
}