Pith Number

pith:TYPUK5LJ

pith:2016:TYPUK5LJJBYSN25ZKJQZKZFL2W

not attested not anchored not stored refs pending

As Easy as $\mathbb Q$: Hilbert's Tenth Problem for Subrings of the Rationals and Number Fields

Alexandra Shlapentokh, Jennifer Park, Kirsten Eisentraeger, Russell Miller

arxiv:1601.07158 v1 · 2016-01-26 · 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{TYPUK5LJJBYSN25ZKJQZKZFL2W}

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	2026-05-18T00:24:02.499560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1f457569487126ebb952619564abd58cdc5b429ccc49c16422e044a21cb6fe

Aliases

arxiv: 1601.07158 · arxiv_version: 1601.07158v1 · doi: 10.48550/arxiv.1601.07158 · pith_short_12: TYPUK5LJJBYS · pith_short_16: TYPUK5LJJBYSN25Z · pith_short_8: TYPUK5LJ

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/TYPUK5LJJBYSN25ZKJQZKZFL2W \
  | 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: 9e1f457569487126ebb952619564abd58cdc5b429ccc49c16422e044a21cb6fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41bb5c9a7f686aff9f52defbba248a1f46e4481efb1bccfe4764a800b2914fff",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-26T20:38:39Z",
    "title_canon_sha256": "250c9f7baa998051ae89756c36b4e3304dba2dc4d6db8c6a47f98449c31f6033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07158",
    "kind": "arxiv",
    "version": 1
  }
}