Pith Number

pith:KMZJ4M5O

pith:2014:KMZJ4M5O4BHJOWHX4SFIMPFT36

not attested not anchored not stored refs pending

On the regular sum-free sets

Jie-Meng Zhang, Wen Wu, Zhi-xiong Wen

arxiv:1405.6493 v2 · 2014-05-26 · 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{KMZJ4M5O4BHJOWHX4SFIMPFT36}

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	2026-05-18T02:14:18.034796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53329e33aee04e9758f7e48a863cb3df83f4f7b73e67d8bb588571b00472a639

Aliases

arxiv: 1405.6493 · arxiv_version: 1405.6493v2 · doi: 10.48550/arxiv.1405.6493 · pith_short_12: KMZJ4M5O4BHJ · pith_short_16: KMZJ4M5O4BHJOWHX · pith_short_8: KMZJ4M5O

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/KMZJ4M5O4BHJOWHX4SFIMPFT36 \
  | 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: 53329e33aee04e9758f7e48a863cb3df83f4f7b73e67d8bb588571b00472a639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b7bb5b96f6d16248c06635126f2ca6760b85a15a3963e014753247fd61f9610",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-26T07:56:36Z",
    "title_canon_sha256": "b10a986bd6e6359d3fd0bd7cb21a658eb9050313dce20866d5d6f24d7a15d70d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6493",
    "kind": "arxiv",
    "version": 2
  }
}