Pith Number

pith:VMFIZLFQ

pith:2025:VMFIZLFQLHSDWEWNVXGC4527XH

not attested not anchored not stored refs pending

Perfect difference families, perfect systems of difference sets and their applications

Hengrui Liu, Menglong Zhang, Tao Feng, Xiaomiao Wang

arxiv:2510.20446 v1 · 2025-10-23 · 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{VMFIZLFQLHSDWEWNVXGC4527XH}

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	2026-06-25T01:17:47.087770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab0a8cacb059e43b12cdadcc2e775fb9eaf2b8fd25adf1fc96dd6e7cdf241dd0

Aliases

arxiv: 2510.20446 · arxiv_version: 2510.20446v1 · doi: 10.48550/arxiv.2510.20446 · pith_short_12: VMFIZLFQLHSD · pith_short_16: VMFIZLFQLHSDWEWN · pith_short_8: VMFIZLFQ

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/VMFIZLFQLHSDWEWNVXGC4527XH \
  | 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: ab0a8cacb059e43b12cdadcc2e775fb9eaf2b8fd25adf1fc96dd6e7cdf241dd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1f2e12c701015a018ed59d12b568e5508826011060291fd48be72ab8ce28b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-10-23T11:30:02Z",
    "title_canon_sha256": "1d7dd7e353842cc83ed308e7f5f7249a2ae54e70539da5d293e3ab113e465d34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.20446",
    "kind": "arxiv",
    "version": 1
  }
}