Pith Number

pith:GYGCZDWP

pith:2016:GYGCZDWPOERQQJO2LYZO67HWT5

not attested not anchored not stored refs pending

On rings of differential operators derived from automorphic forms

Atsuhira Nagano

arxiv:1609.02852 v8 · 2016-09-09 · math.CV · math.CA · 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{GYGCZDWPOERQQJO2LYZO67HWT5}

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	2026-05-18T00:42:12.788156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360c2c8ecf71230825da5e32ef7cf69f4fa8974ec3525abf69d3439495b4b38d

Aliases

arxiv: 1609.02852 · arxiv_version: 1609.02852v8 · doi: 10.48550/arxiv.1609.02852 · pith_short_12: GYGCZDWPOERQ · pith_short_16: GYGCZDWPOERQQJO2 · pith_short_8: GYGCZDWP

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/GYGCZDWPOERQQJO2LYZO67HWT5 \
  | 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: 360c2c8ecf71230825da5e32ef7cf69f4fa8974ec3525abf69d3439495b4b38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc6f1046191b3d87b8cb6d43e77b2ef4a6dab7cc568b3362135b49fc2fd85ba",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-09-09T16:30:41Z",
    "title_canon_sha256": "94909bdacad5da436673149f0d968868ac668e85716904727cfb6679cddf994e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02852",
    "kind": "arxiv",
    "version": 8
  }
}