Pith Number

pith:2NUTPF3R

pith:2018:2NUTPF3RNIOO6VMHYKCF6VWJEE

not attested not anchored not stored refs pending

On the smallest number of terms of vanishing sums of units in number fields

Andrzej Schinzel, Csan\'ad Bert\'ok, K\'alm\'an Gy\H{o}ry, Lajos Hajdu

arxiv:1806.00296 v2 · 2018-06-01 · 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{2NUTPF3RNIOO6VMHYKCF6VWJEE}

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	2026-05-18T00:03:55.858541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3693797716a1cef5587c2845f56c9212040ec1e65f6f3ab2cec1da3496120b3

Aliases

arxiv: 1806.00296 · arxiv_version: 1806.00296v2 · doi: 10.48550/arxiv.1806.00296 · pith_short_12: 2NUTPF3RNIOO · pith_short_16: 2NUTPF3RNIOO6VMH · pith_short_8: 2NUTPF3R

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/2NUTPF3RNIOO6VMHYKCF6VWJEE \
  | 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: d3693797716a1cef5587c2845f56c9212040ec1e65f6f3ab2cec1da3496120b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d651ceba53ae407270fc391d62390abff41f18df543fe4d235b7156418a7a47d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-01T11:50:28Z",
    "title_canon_sha256": "076c2e5c690d05135da7b8cace4fec2659a15aa1376a1221834da6e841a44f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00296",
    "kind": "arxiv",
    "version": 2
  }
}