Pith Number

pith:ZPXNGVM6

pith:2016:ZPXNGVM6BFBL2PX4PQ435MA5CG

not attested not anchored not stored refs pending

Twisted Hilbert modular surfaces, arithmetic intersections and the Jacquet-Langlands correspondence

Gerard Freixas i Montplet, Siddarth Sankaran

arxiv:1610.02315 v1 · 2016-10-07 · 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{ZPXNGVM6BFBL2PX4PQ435MA5CG}

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	2026-05-18T00:07:12.524296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbeed3559e0942bd3efc7c39beb01d1194a85dba550177502dcbd9fbac0a2fa7

Aliases

arxiv: 1610.02315 · arxiv_version: 1610.02315v1 · doi: 10.48550/arxiv.1610.02315 · pith_short_12: ZPXNGVM6BFBL · pith_short_16: ZPXNGVM6BFBL2PX4 · pith_short_8: ZPXNGVM6

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/ZPXNGVM6BFBL2PX4PQ435MA5CG \
  | 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: cbeed3559e0942bd3efc7c39beb01d1194a85dba550177502dcbd9fbac0a2fa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d957ac50d5c8c88718bb9cdea970a41860ec51692b39b5e65a7299ddaaa3d37",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-07T14:59:37Z",
    "title_canon_sha256": "54a4a8425041910cd6fea1c7c9a84145ff2dca2adfbc5f9d6a7f2a7a4d047974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02315",
    "kind": "arxiv",
    "version": 1
  }
}