Pith Number

pith:PIYXDQZW

pith:2021:PIYXDQZWTBPQJZWBZ2XIRNPA2M

not attested not anchored not stored refs pending

Local Maa{\ss} forms and Eichler--Selberg type relations for negative weight vector-valued mock modular forms

Andreas Mono, Joshua Males

arxiv:2108.13198 v5 · 2021-08-30 · 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{PIYXDQZWTBPQJZWBZ2XIRNPA2M}

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	2026-07-05T09:47:19.839520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3171c336985f04e6c1ceae88b5e0d33be61187d34eaf07e941aaf237146b74

Aliases

arxiv: 2108.13198 · arxiv_version: 2108.13198v5 · doi: 10.48550/arxiv.2108.13198 · pith_short_12: PIYXDQZWTBPQ · pith_short_16: PIYXDQZWTBPQJZWB · pith_short_8: PIYXDQZW

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/PIYXDQZWTBPQJZWBZ2XIRNPA2M \
  | 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: 7a3171c336985f04e6c1ceae88b5e0d33be61187d34eaf07e941aaf237146b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "238d5af9bf4dec274b9b96648238001866091637c8813ae8ed03a0cf38065048",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-30T12:59:58Z",
    "title_canon_sha256": "bbc3f4b9149c08963cf80138d39fa03dd4e2737623ab86264ba949f83bf89fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.13198",
    "kind": "arxiv",
    "version": 5
  }
}