Pith Number

pith:2OYRUIIZ

pith:2026:2OYRUIIZDJMANPVKGA6C4H6SZA

not attested not anchored not stored refs pending

Escalations and criteria over real quadratic fields

Giuliano Romeo, Jakub Kr\'asensk\'y

arxiv:2608.12648 v1 · 2026-08-12 · 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{2OYRUIIZDJMANPVKGA6C4H6SZA}

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	2026-08-14T00:46:25.249346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3b11a21191a5806beaa303c2e1fd2c82c78d3d5b40da4f1aa1aad03fdeda606

Aliases

arxiv: 2608.12648 · arxiv_version: 2608.12648v1 · doi: 10.48550/arxiv.2608.12648 · pith_short_12: 2OYRUIIZDJMA · pith_short_16: 2OYRUIIZDJMANPVK · pith_short_8: 2OYRUIIZ

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/2OYRUIIZDJMANPVKGA6C4H6SZA \
  | 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: d3b11a21191a5806beaa303c2e1fd2c82c78d3d5b40da4f1aa1aad03fdeda606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bba2e05c11b6a46761a8f3c394dfcf5c6cdf1a739ffe270658c2139935a98b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-12T23:16:54Z",
    "title_canon_sha256": "44b63eadf15b3d6825013bbe7d4a27a151bce3653b07432415f553c82b7db674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12648",
    "kind": "arxiv",
    "version": 1
  }
}