Pith Number

pith:MV7ZNOEO

pith:2026:MV7ZNOEOE6LYMNHASW7AVM2CLT

not attested not anchored not stored refs pending

The Minimal Absolute Value of Sums of Fifth Roots of Unity

Akihiro Munemasa, Guillermo N\'u\~nez Ponasso

arxiv:2607.00825 v1 · 2026-07-01 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MV7ZNOEOE6LYMNHASW7AVM2CLT}

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	2026-07-02T01:17:56.377540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

657f96b88e27978634e095be0ab3425cfdb1ca16e91c04ad28adec98780a324c

Aliases

arxiv: 2607.00825 · arxiv_version: 2607.00825v1 · doi: 10.48550/arxiv.2607.00825 · pith_short_12: MV7ZNOEOE6LY · pith_short_16: MV7ZNOEOE6LYMNHA · pith_short_8: MV7ZNOEO

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/MV7ZNOEOE6LYMNHASW7AVM2CLT \
  | 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: 657f96b88e27978634e095be0ab3425cfdb1ca16e91c04ad28adec98780a324c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469724d099fc08266c520b6c818edf441de3efd8d19e80945d34d3b1fc37eaca",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-01T11:48:17Z",
    "title_canon_sha256": "3c2db2429b8b922351eef98080dc9f8e1c66ac84f4448b8a402e7ae6df40601a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00825",
    "kind": "arxiv",
    "version": 1
  }
}