Pith Number

pith:4HMFLZN2

pith:2018:4HMFLZN2CUKOZFS6AWGQUNRHVW

not attested not anchored not stored refs pending

Simultaneous Diophantine approximation: sums of squares and homogeneous polynomials

Dmitry Kleinbock, Nikolay Moshchevitin

arxiv:1803.09306 v4 · 2018-03-25 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HMFLZN2CUKOZFS6AWGQUNRHVW}

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	2026-05-18T00:05:23.687963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d855e5ba1514ec965e058d0a3627adbcf8f3198efadb131db6fdda32f9f1dc

Aliases

arxiv: 1803.09306 · arxiv_version: 1803.09306v4 · doi: 10.48550/arxiv.1803.09306 · pith_short_12: 4HMFLZN2CUKO · pith_short_16: 4HMFLZN2CUKOZFS6 · pith_short_8: 4HMFLZN2

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/4HMFLZN2CUKOZFS6AWGQUNRHVW \
  | 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: e1d855e5ba1514ec965e058d0a3627adbcf8f3198efadb131db6fdda32f9f1dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc220c986e5acdb3f470d684e38437f5d2658a68d304b3e4f0c6137ae9eb2a7e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-25T18:30:34Z",
    "title_canon_sha256": "31152076a2074e5afaabb2739df5f942753cdb08af08c513ed65e2d05d70cf89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09306",
    "kind": "arxiv",
    "version": 4
  }
}