Pith Number

pith:FKXGW6DS

pith:2017:FKXGW6DSMHSTHHTL7Z5VUNO4YA

not attested not anchored not stored refs pending

Difference of modular functions and their CM value factorization

Hongbo Yin, Tonghai Yang

arxiv:1711.02983 v1 · 2017-11-08 · 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{FKXGW6DSMHSTHHTL7Z5VUNO4YA}

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	2026-05-18T00:31:01.183896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aae6b787261e5339e6bfe7b5a35dcc0042590c1d842180c81f1891318df9fdc

Aliases

arxiv: 1711.02983 · arxiv_version: 1711.02983v1 · doi: 10.48550/arxiv.1711.02983 · pith_short_12: FKXGW6DSMHST · pith_short_16: FKXGW6DSMHSTHHTL · pith_short_8: FKXGW6DS

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/FKXGW6DSMHSTHHTL7Z5VUNO4YA \
  | 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: 2aae6b787261e5339e6bfe7b5a35dcc0042590c1d842180c81f1891318df9fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7361ecdd611f55d104009dc216d2541ce18cb5bc3bb0ba92d684036fac1471dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-08T14:56:23Z",
    "title_canon_sha256": "13e4a2d86aa5f947303cee32c1d98506f37c8e8c1b44b9568d08dce7bd23c041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02983",
    "kind": "arxiv",
    "version": 1
  }
}