Pith Number

pith:AHXD6EOK

pith:2017:AHXD6EOKD3UYQSBPIBTSI7645W

not attested not anchored not stored refs pending

Diophantine definability of nonnorms of cyclic extensions of global fields

Travis Morrison

arxiv:1710.07357 v2 · 2017-10-19 · math.NT · math.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{AHXD6EOKD3UYQSBPIBTSI7645W}

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	2026-05-18T00:01:43.785296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01ee3f11ca1ee988482f4067247fdcedba2fdae7ee5d7620517f0bfb33ac4e42

Aliases

arxiv: 1710.07357 · arxiv_version: 1710.07357v2 · doi: 10.48550/arxiv.1710.07357 · pith_short_12: AHXD6EOKD3UY · pith_short_16: AHXD6EOKD3UYQSBP · pith_short_8: AHXD6EOK

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/AHXD6EOKD3UYQSBPIBTSI7645W \
  | 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: 01ee3f11ca1ee988482f4067247fdcedba2fdae7ee5d7620517f0bfb33ac4e42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ec20e5ab879ad5ed647c5c88f43d5d69afad3ef9d2ad18e1f076992c975b7b",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-19T21:20:25Z",
    "title_canon_sha256": "2b4da8b93282ab2f48057be31b0603b5c544c23453cf5778188be4aefbaaf0d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07357",
    "kind": "arxiv",
    "version": 2
  }
}