Pith Number

pith:BP2W2PF4

pith:2018:BP2W2PF4LCCGX7WI7NOPCRMV5H

not attested not anchored not stored refs pending

An effective Chabauty-Kim theorem

Jennifer Balakrishnan, Netan Dogra

arxiv:1803.10102 v2 · 2018-03-27 · 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{BP2W2PF4LCCGX7WI7NOPCRMV5H}

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	2026-05-17T23:46:13.415346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf56d3cbc58846bfec8fb5cf14595e9d7d9ba2a278f81d299f7097348904f89

Aliases

arxiv: 1803.10102 · arxiv_version: 1803.10102v2 · doi: 10.48550/arxiv.1803.10102 · pith_short_12: BP2W2PF4LCCG · pith_short_16: BP2W2PF4LCCGX7WI · pith_short_8: BP2W2PF4

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/BP2W2PF4LCCGX7WI7NOPCRMV5H \
  | 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: 0bf56d3cbc58846bfec8fb5cf14595e9d7d9ba2a278f81d299f7097348904f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fbc2ff746b0356019bfe0503e09e4efad04ce01ceca6587222baacbd417f9cf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-27T14:24:31Z",
    "title_canon_sha256": "92dd897eab0fee97c285acc4519798d8ac406e57135a6d35c989ac3744469216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10102",
    "kind": "arxiv",
    "version": 2
  }
}