Pith Number

pith:RWJHTCFW

pith:2015:RWJHTCFWAWOHNFAYQRGDDYLNPQ

not attested not anchored not stored refs pending

Note on vanishing power sums of roots of unity

K. Senthil Kumar, Neeraj Kumar

arxiv:1503.07281 v2 · 2015-03-25 · 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{RWJHTCFWAWOHNFAYQRGDDYLNPQ}

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	2026-05-18T01:19:40.864404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d927988b6059c769418844c31e16d7c1686e870e1a7f8dbf3ab4da4798ec17c

Aliases

arxiv: 1503.07281 · arxiv_version: 1503.07281v2 · doi: 10.48550/arxiv.1503.07281 · pith_short_12: RWJHTCFWAWOH · pith_short_16: RWJHTCFWAWOHNFAY · pith_short_8: RWJHTCFW

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/RWJHTCFWAWOHNFAYQRGDDYLNPQ \
  | 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: 8d927988b6059c769418844c31e16d7c1686e870e1a7f8dbf3ab4da4798ec17c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bbf0be4810e5cc8f807910c43410ed1ab8b1eadb0d8a1ac1cae4ccb1b322433",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-25T05:11:12Z",
    "title_canon_sha256": "c119086a20315c5cfe995fbb3a72a91e8852d9522a60a372cb5fd9e4c1d091b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07281",
    "kind": "arxiv",
    "version": 2
  }
}