Pith Number

pith:ZL5OEVK5

pith:2018:ZL5OEVK556QQTJCBUMCA7U6HPJ

not attested not anchored not stored refs pending

Polyharmonic weak Maass forms of higher depth for SL_2(Z)

Toshiki Matsusaka

arxiv:1801.02146 v3 · 2018-01-07 · 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{ZL5OEVK556QQTJCBUMCA7U6HPJ}

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	2026-05-18T00:13:37.405068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cafae2555defa109a441a3040fd3c77a52c0e68cd0952092e68a498717a1e9e3

Aliases

arxiv: 1801.02146 · arxiv_version: 1801.02146v3 · doi: 10.48550/arxiv.1801.02146 · pith_short_12: ZL5OEVK556QQ · pith_short_16: ZL5OEVK556QQTJCB · pith_short_8: ZL5OEVK5

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/ZL5OEVK556QQTJCBUMCA7U6HPJ \
  | 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: cafae2555defa109a441a3040fd3c77a52c0e68cd0952092e68a498717a1e9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98b4240f6dd03b8c1e38e4e47a7c7c73ee62f7c6706c3ed32ed065c0cf88de70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-07T06:20:50Z",
    "title_canon_sha256": "cd48bbbf0e2cebe95379baea38a8e5ceae58933b149e784ac73d1b66f54c753b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02146",
    "kind": "arxiv",
    "version": 3
  }
}