Pith Number

pith:RXCJ6ETL

pith:2017:RXCJ6ETLCCVMFZLPQISCB56BAM

not attested not anchored not stored refs pending

Zero-sum $K_m$ over $\mathbb{Z}$ and the story of $K_4$

Adriana Hansberg, Amanda Montejano, Yair Caro

arxiv:1708.09777 v1 · 2017-08-31 · 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{RXCJ6ETLCCVMFZLPQISCB56BAM}

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	2026-05-18T00:36:15.115203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dc49f126b10aac2e56f822420f7c1032bfd4fd4658f43226042382a7c02ac42

Aliases

arxiv: 1708.09777 · arxiv_version: 1708.09777v1 · doi: 10.48550/arxiv.1708.09777 · pith_short_12: RXCJ6ETLCCVM · pith_short_16: RXCJ6ETLCCVMFZLP · pith_short_8: RXCJ6ETL

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/RXCJ6ETLCCVMFZLPQISCB56BAM \
  | 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: 8dc49f126b10aac2e56f822420f7c1032bfd4fd4658f43226042382a7c02ac42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a0eb1ddd4871a8eb1e0a4c5238adc2dd8c01a3c846e4373156e0208cb8b044",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-31T15:32:26Z",
    "title_canon_sha256": "c2d7dec2469e73ac6e2965b3325232191a5416ca1c3f9680f4fd639258996c8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09777",
    "kind": "arxiv",
    "version": 1
  }
}