Pith Number

pith:NYCL4GXE

pith:2017:NYCL4GXE2X7RIM7CX55YF5IS4N

not attested not anchored not stored refs pending

Vector bundles and modular forms for Fuchsian groups of genus zero

Cameron Franc, Luca Candelori

arxiv:1704.01684 v1 · 2017-04-06 · 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{NYCL4GXE2X7RIM7CX55YF5IS4N}

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	2026-05-18T00:46:54.565344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e04be1ae4d5ff1433e2bf7b82f512e359cad891f95c892204fe1235923ddfea

Aliases

arxiv: 1704.01684 · arxiv_version: 1704.01684v1 · doi: 10.48550/arxiv.1704.01684 · pith_short_12: NYCL4GXE2X7R · pith_short_16: NYCL4GXE2X7RIM7C · pith_short_8: NYCL4GXE

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/NYCL4GXE2X7RIM7CX55YF5IS4N \
  | 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: 6e04be1ae4d5ff1433e2bf7b82f512e359cad891f95c892204fe1235923ddfea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa427d9737abc4d5fd4c6aba074a8b9e0327d9276d973d84d9f6b30ea320e7e8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-06T01:43:03Z",
    "title_canon_sha256": "31948f6b48c0430eaaafe7486bdedbe1b94309be80e15179e64bda5bdfe8f825"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01684",
    "kind": "arxiv",
    "version": 1
  }
}