Pith Number

pith:OL7AYYRK

pith:2019:OL7AYYRK72K5OE4AI5X6TNXBSN

not attested not anchored not stored refs pending

A proof of Perrin-Riou's Heegner point main conjecture

Ashay Burungale, Chan-Ho Kim, Francesc Castella

arxiv:1908.09512 v2 · 2019-08-26 · 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{OL7AYYRK72K5OE4AI5X6TNXBSN}

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	2026-07-05T03:28:08.919502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72fe0c622afe95d71380476fe9b6e193635900b7fd7a92d046cec7ac491e1549

Aliases

arxiv: 1908.09512 · arxiv_version: 1908.09512v2 · doi: 10.48550/arxiv.1908.09512 · pith_short_12: OL7AYYRK72K5 · pith_short_16: OL7AYYRK72K5OE4A · pith_short_8: OL7AYYRK

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/OL7AYYRK72K5OE4AI5X6TNXBSN \
  | 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: 72fe0c622afe95d71380476fe9b6e193635900b7fd7a92d046cec7ac491e1549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "566e9c037cf23e490c387a2b850d5880fd5b21bee732b7604288bfd59a26fc98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-26T07:47:11Z",
    "title_canon_sha256": "1aecd4ed00d0f9e50b1420ff0badd947556bf560503018620c66d209dfe3f0e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09512",
    "kind": "arxiv",
    "version": 2
  }
}