Pith Number

pith:BFNPGN7C

pith:2018:BFNPGN7C2VNNGQCIFNBSMU5ZKH

not attested not anchored not stored refs pending

On a theorem of Bertolini-Darmon about rationality of Stark-Heegner points over genus fields of real quadratic fields

Chung Pang Mok

arxiv:1801.09285 v1 · 2018-01-28 · 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{BFNPGN7C2VNNGQCIFNBSMU5ZKH}

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	2026-05-18T00:24:57.940196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

095af337e2d55ad340482b432653b951c3b2a10a5cffd19cdc07b747de09948e

Aliases

arxiv: 1801.09285 · arxiv_version: 1801.09285v1 · doi: 10.48550/arxiv.1801.09285 · pith_short_12: BFNPGN7C2VNN · pith_short_16: BFNPGN7C2VNNGQCI · pith_short_8: BFNPGN7C

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/BFNPGN7C2VNNGQCIFNBSMU5ZKH \
  | 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: 095af337e2d55ad340482b432653b951c3b2a10a5cffd19cdc07b747de09948e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b15f56d9ea5af51e7b1c755e43e8eaed00883061c2979c14e27389f7b61f49f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-28T20:48:36Z",
    "title_canon_sha256": "f77524c329620cd93a4c3ac1e9cf073b6057ed9e9f046ef114d439c5cee80e4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09285",
    "kind": "arxiv",
    "version": 1
  }
}