Pith Number

pith:YLDUXMYX

pith:2013:YLDUXMYXWAZZREF6UC4CCIFX2Z

not attested not anchored not stored refs pending

Minimal zero-sum sequences of length five over finite cyclic groups

Jiangtao Peng, Yuanlin Li

arxiv:1303.1676 v1 · 2013-03-07 · 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{YLDUXMYXWAZZREF6UC4CCIFX2Z}

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	2026-05-18T03:31:33.440748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2c74bb317b0339890bea0b82120b7d645be1e36ef95fc42115e3dcd1d5a61d8

Aliases

arxiv: 1303.1676 · arxiv_version: 1303.1676v1 · doi: 10.48550/arxiv.1303.1676 · pith_short_12: YLDUXMYXWAZZ · pith_short_16: YLDUXMYXWAZZREF6 · pith_short_8: YLDUXMYX

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/YLDUXMYXWAZZREF6UC4CCIFX2Z \
  | 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: c2c74bb317b0339890bea0b82120b7d645be1e36ef95fc42115e3dcd1d5a61d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "475584536e6c1b56a55b0516450680b9dbc5bc954924b3443f201ad837290207",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-07T13:15:20Z",
    "title_canon_sha256": "7e3d35a016113f9cf623e140671c5bf730b19d506c748fca4abb341b457554d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1676",
    "kind": "arxiv",
    "version": 1
  }
}