Pith Number

pith:W7MPRSPD

pith:2025:W7MPRSPDPWERISDMVJKHJZMSXG

not attested not anchored not stored refs pending

Cusp forms of weight 1/2 and pairs of quadratic forms

Andr\'as Bir\'o

arxiv:2507.02522 v2 · 2025-07-03 · 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{W7MPRSPDPWERISDMVJKHJZMSXG}

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	2026-07-05T11:41:26.268098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d8f8c9e37d8914486caa5474e592b990776bedf7e17d9cf9c888a874c61e1a

Aliases

arxiv: 2507.02522 · arxiv_version: 2507.02522v2 · doi: 10.48550/arxiv.2507.02522 · pith_short_12: W7MPRSPDPWER · pith_short_16: W7MPRSPDPWERISDM · pith_short_8: W7MPRSPD

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/W7MPRSPDPWERISDMVJKHJZMSXG \
  | 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: b7d8f8c9e37d8914486caa5474e592b990776bedf7e17d9cf9c888a874c61e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63ad8d2626d4c11053375a452fa428efd856d97db953aa27ceb050cde07fb8bd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-03T10:38:02Z",
    "title_canon_sha256": "20a64f1a6c117e1b93ad2a258a043e041f0cd71dde898608d78fef4b11e91f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02522",
    "kind": "arxiv",
    "version": 2
  }
}