Pith Number

pith:DT6P2SF4

pith:2026:DT6P2SF4FKRZNNQPWCZMGD357K

not attested not anchored not stored refs pending

On Euclidean systems of ray classes

Yutaro Matsuno

arxiv:2607.01703 v1 · 2026-07-02 · 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{DT6P2SF4FKRZNNQPWCZMGD357K}

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	2026-07-03T01:17:27.226858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cfcfd48bc2aa396b60fb0b2c30f7dfabc434897fe2523a85c077c639d3f240d

Aliases

arxiv: 2607.01703 · arxiv_version: 2607.01703v1 · doi: 10.48550/arxiv.2607.01703 · pith_short_12: DT6P2SF4FKRZ · pith_short_16: DT6P2SF4FKRZNNQP · pith_short_8: DT6P2SF4

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/DT6P2SF4FKRZNNQPWCZMGD357K \
  | 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: 1cfcfd48bc2aa396b60fb0b2c30f7dfabc434897fe2523a85c077c639d3f240d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "825028cdcc8ad68d79d25672db3b99eb762f207372b7094f3589cae334cac4ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-02T04:52:03Z",
    "title_canon_sha256": "ee1137045450aa664f36ef26a4141e2112b3f6cd8f45f3e073fa2977465a1aaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01703",
    "kind": "arxiv",
    "version": 1
  }
}