Pith Number

pith:Z64ZTPKO

pith:2022:Z64ZTPKOFRMK72TI64KKVAGGRC

not attested not anchored not stored refs pending

Greatest Common Divisors on the Complement of Numerically Parallel Divisors

Aaron Levin, Keping Huang

arxiv:2207.14432 v1 · 2022-07-29 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z64ZTPKOFRMK72TI64KKVAGGRC}

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

Families of Unit Equations and Exponential Diophantine Problems via Integral Points

Receipt and verification

First computed	2026-07-05T04:44:34.085396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfb999bd4e2c58afea68f714aa80c68890a8e77afff9815b8d6d41f9f390bb8f

Aliases

arxiv: 2207.14432 · arxiv_version: 2207.14432v1 · doi: 10.48550/arxiv.2207.14432 · pith_short_12: Z64ZTPKOFRMK · pith_short_16: Z64ZTPKOFRMK72TI · pith_short_8: Z64ZTPKO

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/Z64ZTPKOFRMK72TI64KKVAGGRC \
  | 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: cfb999bd4e2c58afea68f714aa80c68890a8e77afff9815b8d6d41f9f390bb8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "069a3b9f48c0205eaa9583cd9565d6f73c9336e7df9a6aa74ecb396569cd29be",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-29T01:46:35Z",
    "title_canon_sha256": "d8fc5ab88c70ff503761b1ec5905c62239ba2a9b73a93b5a16fc75b96f447ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.14432",
    "kind": "arxiv",
    "version": 1
  }
}