Pith Number

pith:5ARPREOA

pith:2019:5ARPREOACJGFEHTDCMV3ZK5ZOP

not attested not anchored not stored refs pending

Metric Diophantine approximation with congruence conditions

Erez Nesharim, Rene R\"uhr, Ronggang Shi

arxiv:1902.01381 v2 · 2019-02-04 · 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{5ARPREOACJGFEHTDCMV3ZK5ZOP}

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	2026-05-17T23:54:47.763462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e822f891c0124c521e63132bbcabb973dae12e3e0f0beb3ac0da168a220b7c36

Aliases

arxiv: 1902.01381 · arxiv_version: 1902.01381v2 · doi: 10.48550/arxiv.1902.01381 · pith_short_12: 5ARPREOACJGF · pith_short_16: 5ARPREOACJGFEHTD · pith_short_8: 5ARPREOA

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/5ARPREOACJGFEHTDCMV3ZK5ZOP \
  | 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: e822f891c0124c521e63132bbcabb973dae12e3e0f0beb3ac0da168a220b7c36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bff97b50f52132f43c5ad3fb80cd51042841cd17766ee4051c7186e9ceb6e88e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-04T18:48:35Z",
    "title_canon_sha256": "b11a21e55c42c4caa6514a67a191cd0b5e85234a1dc74f3a23264d972f146d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01381",
    "kind": "arxiv",
    "version": 2
  }
}