Pith Number

pith:KNG3MKEZ

pith:2021:KNG3MKEZARIIE5BPKBDCSZLQCW

not attested not anchored not stored refs pending

Arithmetic bigness and a uniform Bogomolov-type result

Xinyi Yuan

arxiv:2108.05625 v4 · 2021-08-12 · 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{KNG3MKEZARIIE5BPKBDCSZLQCW}

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

Quantitativity in the Mordell Conjecture

Abstract divisorial spaces and arithmetic intersection numbers

Receipt and verification

First computed	2026-07-05T08:13:23.728223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

534db62899045082742f504629657015bff68c776ec5799503f298f2df080830

Aliases

arxiv: 2108.05625 · arxiv_version: 2108.05625v4 · doi: 10.48550/arxiv.2108.05625 · pith_short_12: KNG3MKEZARII · pith_short_16: KNG3MKEZARIIE5BP · pith_short_8: KNG3MKEZ

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/KNG3MKEZARIIE5BPKBDCSZLQCW \
  | 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: 534db62899045082742f504629657015bff68c776ec5799503f298f2df080830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af5b17cb4f690b1bc53e5b25522b26427de1f8452435aeca9e92db2fd49cbc7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-12T09:39:59Z",
    "title_canon_sha256": "fa166c2c41be516421adb17ed6c2cc5a092cf2e6087abcc96222a6fa304c9b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.05625",
    "kind": "arxiv",
    "version": 4
  }
}