Pith Number

pith:HXUMOCKL

pith:2019:HXUMOCKLHCDZ3W5UPUJNSWD4UZ

not attested not anchored not stored refs pending

On Howard's main conjecture and the Heegner point Kolyvagin system

Murilo Zanarella

arxiv:1908.09197 v1 · 2019-08-24 · 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{HXUMOCKLHCDZ3W5UPUJNSWD4UZ}

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	2026-07-04T23:59:37.586645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de8c7094b38879ddbb47d12d9587ca66bb693c4d8e36f2b55b10ab055dcfd2d

Aliases

arxiv: 1908.09197 · arxiv_version: 1908.09197v1 · doi: 10.48550/arxiv.1908.09197 · pith_short_12: HXUMOCKLHCDZ · pith_short_16: HXUMOCKLHCDZ3W5U · pith_short_8: HXUMOCKL

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/HXUMOCKLHCDZ3W5UPUJNSWD4UZ \
  | 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: 3de8c7094b38879ddbb47d12d9587ca66bb693c4d8e36f2b55b10ab055dcfd2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7df7a7655feeedc8a8a1e7486a68e0025385c8bebe7e739094d96cd71297f2b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-24T20:22:49Z",
    "title_canon_sha256": "20acf66e9343fe3c96716c8228c74eb4396aa6085a143e5bb5e28d562d1d58ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09197",
    "kind": "arxiv",
    "version": 1
  }
}