Pith Number

pith:NVS5TSUK

pith:2019:NVS5TSUK4MBZJQPXTHQDODO45K

not attested not anchored not stored refs pending

Upper Bounds for Cyclotomic Numbers

Bernhard Schmidt, Ka Hin Leung, Tai Do Duc

arxiv:1903.07314 v1 · 2019-03-18 · 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{NVS5TSUK4MBZJQPXTHQDODO45K}

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	2026-05-17T23:51:01.768215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d65d9ca8ae30394c1f799e0370ddcea817a522f47569252e7778bc843ef1cae

Aliases

arxiv: 1903.07314 · arxiv_version: 1903.07314v1 · doi: 10.48550/arxiv.1903.07314 · pith_short_12: NVS5TSUK4MBZ · pith_short_16: NVS5TSUK4MBZJQPX · pith_short_8: NVS5TSUK

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/NVS5TSUK4MBZJQPXTHQDODO45K \
  | 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: 6d65d9ca8ae30394c1f799e0370ddcea817a522f47569252e7778bc843ef1cae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add17071fe1078e6dfc8497fc8949a40f4373a72ffb9a575e56eedb71594656f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-18T09:13:47Z",
    "title_canon_sha256": "ab37c3a673283e7abd633eaa68938f8b5027fa5a3e5734edb0d7ee2015829a82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07314",
    "kind": "arxiv",
    "version": 1
  }
}