Pith Number

pith:3M5XLK4D

pith:2025:3M5XLK4DBTDBCBBCMFEQRPB7IF

not attested not anchored not stored refs pending

Diophantine Equations over $\mathbb Z$: Universal Bounds and Parallel Formalization

Dierk Schleicher, Jonas Bayer, Malte Hassler, Marco David, Yuri Matiyasevich

arxiv:2506.20909 v2 · 2025-06-26 · math.NT · cs.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3M5XLK4DBTDBCBBCMFEQRPB7IF}

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	2026-07-05T11:29:14.158786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db3b75ab830cc6110422614908bc3f415c21129c8a94291b20c95f83f2e265dc

Aliases

arxiv: 2506.20909 · arxiv_version: 2506.20909v2 · doi: 10.48550/arxiv.2506.20909 · pith_short_12: 3M5XLK4DBTDB · pith_short_16: 3M5XLK4DBTDBCBBC · pith_short_8: 3M5XLK4D

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/3M5XLK4DBTDBCBBCMFEQRPB7IF \
  | 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: db3b75ab830cc6110422614908bc3f415c21129c8a94291b20c95f83f2e265dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c9a98949f0a3e0dedda28654ebde44edf776258f29946404b2c9feab6ce9152",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-26T00:30:24Z",
    "title_canon_sha256": "2c66e2fa409fa9ecb662a4e43c7cdfe91e3b3fabfc617d732a2c5bdbd88e9da1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20909",
    "kind": "arxiv",
    "version": 2
  }
}