Pith Number

pith:XS2IPWDG

pith:2017:XS2IPWDG4XOUZTSLQNNBP45KZW

not attested not anchored not stored refs pending

The Fourier coefficients of the McKay-Thompson series and the traces of CM values

Toshiki Matsusaka

arxiv:1703.10115 v2 · 2017-03-29 · 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{XS2IPWDG4XOUZTSLQNNBP45KZW}

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	2026-05-18T00:36:19.302277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcb487d866e5dd4cce4b835a17f3aacd844f2729f414dc1571c05806759fae7e

Aliases

arxiv: 1703.10115 · arxiv_version: 1703.10115v2 · doi: 10.48550/arxiv.1703.10115 · pith_short_12: XS2IPWDG4XOU · pith_short_16: XS2IPWDG4XOUZTSL · pith_short_8: XS2IPWDG

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/XS2IPWDG4XOUZTSLQNNBP45KZW \
  | 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: bcb487d866e5dd4cce4b835a17f3aacd844f2729f414dc1571c05806759fae7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e409d9d09487b4ed7abac683db5a47dca5f78722cea16d7f90feec8c29060a70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-29T16:12:29Z",
    "title_canon_sha256": "111da8fe168117963e727ee78c333362fe85b85e3dbae9991fa95eb45fc15b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10115",
    "kind": "arxiv",
    "version": 2
  }
}