pith. sign in
Pith Number

pith:DPRMW6YL

pith:2013:DPRMW6YL4UWPOY3PJWBEQ4Y7RJ
not attested not anchored not stored refs pending

Upper Bounds on Matching Families in $\mathbb{Z}_{pq}^n$

Huaxiong Wang, Liang Feng Zhang, San Ling, Yeow Meng Chee

arxiv:1301.0980 v2 · 2013-01-06 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DPRMW6YL4UWPOY3PJWBEQ4Y7RJ}

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 2026-05-18T03:29:29.380023Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1be2cb7b0be52cf7636f4d8248731f8a4d7d1cb453fa8dbd5d62808c45d3e9a8

Aliases

arxiv: 1301.0980 · arxiv_version: 1301.0980v2 · doi: 10.48550/arxiv.1301.0980 · pith_short_12: DPRMW6YL4UWP · pith_short_16: DPRMW6YL4UWPOY3P · pith_short_8: DPRMW6YL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DPRMW6YL4UWPOY3PJWBEQ4Y7RJ \
  | 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: 1be2cb7b0be52cf7636f4d8248731f8a4d7d1cb453fa8dbd5d62808c45d3e9a8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e66addc08242390e36a3e49d908589272186a79e973d5ceeb7b65465e3bc4b99",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-06T06:54:44Z",
    "title_canon_sha256": "76bbd861424c043974f37684f09689dfa82ae9982e6153c9c035e02fd373e2ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0980",
    "kind": "arxiv",
    "version": 2
  }
}