Pith Number

pith:NFYXF3A7

pith:2018:NFYXF3A7LJSL6SJXKSSXNCV3GA

not attested not anchored not stored refs pending

Distinct Partial Sums in Cyclic Groups: Polynomial Method and Constructive Approaches

Jacob Hicks, John. R. Schmitt, M. A. Ollis

arxiv:1809.02684 v1 · 2018-09-07 · 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{NFYXF3A7LJSL6SJXKSSXNCV3GA}

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	2026-05-18T00:06:15.618795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

697172ec1f5a64bf493754a5768abb301a1c3047190203144d8637becd17d34d

Aliases

arxiv: 1809.02684 · arxiv_version: 1809.02684v1 · doi: 10.48550/arxiv.1809.02684 · pith_short_12: NFYXF3A7LJSL · pith_short_16: NFYXF3A7LJSL6SJX · pith_short_8: NFYXF3A7

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/NFYXF3A7LJSL6SJXKSSXNCV3GA \
  | 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: 697172ec1f5a64bf493754a5768abb301a1c3047190203144d8637becd17d34d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6816d6a63ab3ed5fff931dc5cf13fa413518ed0f65958a71adfb02ae3a0a0b80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-07T21:35:28Z",
    "title_canon_sha256": "ed29642e463b1e681f8bba3088f1268674b57184591f302201978034ac049b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02684",
    "kind": "arxiv",
    "version": 1
  }
}