Pith Number

pith:F2F5JZ2Z

pith:2017:F2F5JZ2ZBNCVNZ3P363C2OTC5L

not attested not anchored not stored refs pending

On distances in lattices from algebraic number fields

Arturas Dubickas, Igor E. Shparlinski, Min Sha

arxiv:1703.02163 v1 · 2017-03-07 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2F5JZ2ZBNCVNZ3P363C2OTC5L}

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	2026-05-18T00:49:20.592176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8bd4e7590b4556e76fdfb62d3a62eac64a6ce52a8e24ca6fe1d19377ee5987

Aliases

arxiv: 1703.02163 · arxiv_version: 1703.02163v1 · doi: 10.48550/arxiv.1703.02163 · pith_short_12: F2F5JZ2ZBNCV · pith_short_16: F2F5JZ2ZBNCVNZ3P · pith_short_8: F2F5JZ2Z

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/F2F5JZ2ZBNCVNZ3P363C2OTC5L \
  | 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: 2e8bd4e7590b4556e76fdfb62d3a62eac64a6ce52a8e24ca6fe1d19377ee5987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ade65b3695e40e3947c76220ec4733300081738aa44ae3881781df04eb58ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-07T00:52:31Z",
    "title_canon_sha256": "6288d410fe76d590a5e0575da4e156b357980acf1bde5c9099bdf9b14965c7ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02163",
    "kind": "arxiv",
    "version": 1
  }
}