Pith Number

pith:7ZMWMHUE

pith:2025:7ZMWMHUEH22WLZQACVW4CCV7CW

not attested not anchored not stored refs pending

On quadratic character sums over quartics

Bogdan Nica

arxiv:2507.09991 v1 · 2025-07-14 · 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{7ZMWMHUEH22WLZQACVW4CCV7CW}

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	2026-07-05T11:36:43.419262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe59661e843eb565e600156dc10abf15a01cd3baed6135f49a3b9e006163784a

Aliases

arxiv: 2507.09991 · arxiv_version: 2507.09991v1 · doi: 10.48550/arxiv.2507.09991 · pith_short_12: 7ZMWMHUEH22W · pith_short_16: 7ZMWMHUEH22WLZQA · pith_short_8: 7ZMWMHUE

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/7ZMWMHUEH22WLZQACVW4CCV7CW \
  | 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: fe59661e843eb565e600156dc10abf15a01cd3baed6135f49a3b9e006163784a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b800da8c16fcce14286fc2780053516f304fb1d29c972b79296ba451430757d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-14T07:19:11Z",
    "title_canon_sha256": "c16cef85ccd48da9131a550d37f17a97f6c412b21037012157a24a92244b1f86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09991",
    "kind": "arxiv",
    "version": 1
  }
}