Pith Number

pith:53JZ5Y7U

pith:2013:53JZ5Y7UPAOKMUIAMYJ3HBOTU6

not attested not anchored not stored refs pending

Difference Sets with Few Character Values

Gennian Ge, Shuxing Li, Sihuang Hu, Tao Feng

arxiv:1303.1659 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{53JZ5Y7UPAOKMUIAMYJ3HBOTU6}

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	2026-05-18T01:37:47.679696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed39ee3f4781ca651006613b385d3a78636c64e5d41217d991353c63bdbab4b

Aliases

arxiv: 1303.1659 · arxiv_version: 1303.1659v1 · doi: 10.48550/arxiv.1303.1659 · pith_short_12: 53JZ5Y7UPAOK · pith_short_16: 53JZ5Y7UPAOKMUIA · pith_short_8: 53JZ5Y7U

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/53JZ5Y7UPAOKMUIAMYJ3HBOTU6 \
  | 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: eed39ee3f4781ca651006613b385d3a78636c64e5d41217d991353c63bdbab4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8bb4389c60005e005ac60233e6ed4d3a84148a1bd47ba17ddd73bb1ea748be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-07T12:19:23Z",
    "title_canon_sha256": "6f5d4b1d6cab4a903cc5cd79398c1cd6bc314e7a4f300e8fddd735684899c743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1659",
    "kind": "arxiv",
    "version": 1
  }
}