Pith Number

pith:TBUKVMEJ

pith:2017:TBUKVMEJWUKHWCQV5MVOA3CV2B

not attested not anchored not stored refs pending

On the structure of zero-sum free set with minimum subset sums in abelian groups

Jiangtao Peng, Wanzhen Hui

arxiv:1801.00131 v1 · 2017-12-30 · 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{TBUKVMEJWUKHWCQV5MVOA3CV2B}

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	2026-05-18T00:26:59.322978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9868aab089b5147b0a15eb2ae06c55d074e394b8e5c9fc20e77b4591a43d04e9

Aliases

arxiv: 1801.00131 · arxiv_version: 1801.00131v1 · doi: 10.48550/arxiv.1801.00131 · pith_short_12: TBUKVMEJWUKH · pith_short_16: TBUKVMEJWUKHWCQV · pith_short_8: TBUKVMEJ

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/TBUKVMEJWUKHWCQV5MVOA3CV2B \
  | 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: 9868aab089b5147b0a15eb2ae06c55d074e394b8e5c9fc20e77b4591a43d04e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90b1be91b5c5279924bca2b8e356d1453049b4a3b116e4b3d52728ddffe3390a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-30T13:09:55Z",
    "title_canon_sha256": "c0d685fbbee09be5c589f4bedaeeeb6ead9f50abf518fada93017a79db86d82d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00131",
    "kind": "arxiv",
    "version": 1
  }
}