Pith Number

pith:HU3BPKMU

pith:2025:HU3BPKMU6C46WPATYOIEIYMW3T

not attested not anchored not stored refs pending

Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field

Ari Shnidman, Levent Alp\"oge, Manjul Bhargava, Wei Ho

arxiv:2501.18774 v1 · 2025-01-30 · 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{HU3BPKMU6C46WPATYOIEIYMW3T}

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.

Cited by

1 paper in Pith

Martin Davis: An Overview of his Work in Logic, Computer Science, and Philosophy

Receipt and verification

First computed	2026-07-05T10:07:51.411904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d3617a994f0b9eb3c13c390446196dcc107e7c405ea91a287babb2c599c8747

Aliases

arxiv: 2501.18774 · arxiv_version: 2501.18774v1 · doi: 10.48550/arxiv.2501.18774 · pith_short_12: HU3BPKMU6C46 · pith_short_16: HU3BPKMU6C46WPAT · pith_short_8: HU3BPKMU

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/HU3BPKMU6C46WPATYOIEIYMW3T \
  | 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: 3d3617a994f0b9eb3c13c390446196dcc107e7c405ea91a287babb2c599c8747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd190a40aa5cd4130d91e4085c622cf15f2885c18319241532e7e724d0b7923",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-30T21:56:25Z",
    "title_canon_sha256": "bd7e753d780e092a78c4215f291443143ee5e9ac0c31e03c34e4c68f5ae4a3b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18774",
    "kind": "arxiv",
    "version": 1
  }
}