Pith Number

pith:HGHH6QBW

pith:2026:HGHH6QBWD5MPTGWXTKJ7JNJTVD

not attested not anchored not stored refs pending

Equationless quadratic Chabauty for non-split Cartan modular curves

Davide Lombardo, Guido Maria Lido, Nicolas Mascot, Pierre Parent, Sachi Hashimoto

arxiv:2608.10919 v1 · 2026-08-11 · 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{HGHH6QBWD5MPTGWXTKJ7JNJTVD}

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	2026-08-12T01:23:49.177070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

398e7f40361f58f99ad79a93f4b533a8f03a775ba0b058f77511ca431c22da48

Aliases

arxiv: 2608.10919 · arxiv_version: 2608.10919v1 · doi: 10.48550/arxiv.2608.10919 · pith_short_12: HGHH6QBWD5MP · pith_short_16: HGHH6QBWD5MPTGWX · pith_short_8: HGHH6QBW

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/HGHH6QBWD5MPTGWXTKJ7JNJTVD \
  | 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: 398e7f40361f58f99ad79a93f4b533a8f03a775ba0b058f77511ca431c22da48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b220d04b82bd3bd6f1b5648cd9c1baf60ba37e9eca8fcec2095ec87b1c3c3ded",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-11T13:42:28Z",
    "title_canon_sha256": "37e492316ea90e2e9c70611322f6b86737f48d6e0509a0d007853aeff1f4f673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10919",
    "kind": "arxiv",
    "version": 1
  }
}