Pith Number

pith:YTONTOTU

pith:2026:YTONTOTUBIVHBX6RKY7WGPXZXV

not attested not anchored not stored refs pending

The minimal obstruction modulus for quadratic forms

Naoki Ochi

arxiv:2608.09063 v1 · 2026-08-10 · 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{YTONTOTUBIVHBX6RKY7WGPXZXV}

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	2026-08-11T02:21:42.817705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4dcd9ba740a2a70dfd1563f633ef9bd73ee6f81359f470a554012207be0a7ec

Aliases

arxiv: 2608.09063 · arxiv_version: 2608.09063v1 · doi: 10.48550/arxiv.2608.09063 · pith_short_12: YTONTOTUBIVH · pith_short_16: YTONTOTUBIVHBX6R · pith_short_8: YTONTOTU

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/YTONTOTUBIVHBX6RKY7WGPXZXV \
  | 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: c4dcd9ba740a2a70dfd1563f633ef9bd73ee6f81359f470a554012207be0a7ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac09233241ac30af108118ebce1bf93f00c8bcbf08521006bea12b2d0f4a113",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-10T03:11:33Z",
    "title_canon_sha256": "dbb40e0fda501dd2d0e9d895fe2b0431f36396538acf02c090b4e6b5cc92ba2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09063",
    "kind": "arxiv",
    "version": 1
  }
}