Pith Number

pith:MN7LUBLD

pith:1996:MN7LUBLD4J46SDIMPU4RSC6JHH

not attested not anchored not stored refs pending

On vanishing sums of $\,m\,$th roots of unity in finite fields

K. H. Leung, T. Y. Lam

arxiv:math/9605216 v1 · 1996-05-02 · 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{MN7LUBLD4J46SDIMPU4RSC6JHH}

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	2026-05-18T01:05:47.468674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

637eba0563e279e90d0c7d39190bc939f6058a7444359ba832370f0b5eb36c71

Aliases

arxiv: math/9605216 · arxiv_version: math/9605216v1 · doi: 10.48550/arxiv.math/9605216 · pith_short_12: MN7LUBLD4J46 · pith_short_16: MN7LUBLD4J46SDIM · pith_short_8: MN7LUBLD

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/MN7LUBLD4J46SDIMPU4RSC6JHH \
  | 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: 637eba0563e279e90d0c7d39190bc939f6058a7444359ba832370f0b5eb36c71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9ca8e982b89dd74f118df56e9225e91d3fb99016314dca244865b4e7be5f95",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1996-05-02T00:00:00Z",
    "title_canon_sha256": "a10fad2af314193281d1ad7c2873505ea7b317979e798d5fa55b74795b3bc770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9605216",
    "kind": "arxiv",
    "version": 1
  }
}