Pith Number

pith:ZKO5DTNX

pith:2017:ZKO5DTNXWSE4A5HASBWFMCAGDF

not attested not anchored not stored refs pending

On the Arithmetic Exceptionality of Polynomial Mappings

\"Omer K\"u\c{c}\"uksakall{\i}

arxiv:1707.03238 v1 · 2017-07-11 · 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{ZKO5DTNXWSE4A5HASBWFMCAGDF}

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	2026-05-18T00:28:15.179850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca9dd1cdb7b489c074e0906c5608061979753de36923d8ab8f4ac96356873a78

Aliases

arxiv: 1707.03238 · arxiv_version: 1707.03238v1 · doi: 10.48550/arxiv.1707.03238 · pith_short_12: ZKO5DTNXWSE4 · pith_short_16: ZKO5DTNXWSE4A5HA · pith_short_8: ZKO5DTNX

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/ZKO5DTNXWSE4A5HASBWFMCAGDF \
  | 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: ca9dd1cdb7b489c074e0906c5608061979753de36923d8ab8f4ac96356873a78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad3507224a75db9ba3f30284cf6038d9b3dc2c892bd3c98ff7cca2a66dd71933",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-11T12:10:23Z",
    "title_canon_sha256": "fa5953e2c8febbf3d100dec753a8289e63ad41e4f4cd98aee39738748004311d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03238",
    "kind": "arxiv",
    "version": 1
  }
}