Pith Number

pith:H4SGGKSY

pith:2011:H4SGGKSY3L3GPSOD3UBA4XGH62

not attested not anchored not stored refs pending

On short zero-sum subsequences of zero-sum sequences

Guoqing Wang, Jujuan Zhuang, Qinghai Zhong, Weidong Gao, Yushuang Fan

arxiv:1108.2866 v1 · 2011-08-14 · 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{H4SGGKSY3L3GPSOD3UBA4XGH62}

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	2026-05-18T04:15:29.039100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f24632a58daf667c9c3dd020e5cc7f6bb52391bee7c61fa97fbf6092a1731f0

Aliases

arxiv: 1108.2866 · arxiv_version: 1108.2866v1 · doi: 10.48550/arxiv.1108.2866 · pith_short_12: H4SGGKSY3L3G · pith_short_16: H4SGGKSY3L3GPSOD · pith_short_8: H4SGGKSY

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/H4SGGKSY3L3GPSOD3UBA4XGH62 \
  | 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: 3f24632a58daf667c9c3dd020e5cc7f6bb52391bee7c61fa97fbf6092a1731f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b39140db154b5b784bc8842755e9cebc5e12aa55a48e9b2298f653c54887ec5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-14T12:47:41Z",
    "title_canon_sha256": "9b5d684ce00f39243a9fdd6cf59ee6c33f41dadd88066b97855c651d01c91c9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2866",
    "kind": "arxiv",
    "version": 1
  }
}