Pith Number

pith:N2Y3MGNK

pith:2016:N2Y3MGNKVUHBHTQEPHBFNWADXG

not attested not anchored not stored refs pending

Some Nonexistence Results for Strong External Difference Families Using Character Theory

Douglas R. Stinson, William J. Martin

arxiv:1610.06432 v2 · 2016-10-20 · 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{N2Y3MGNKVUHBHTQEPHBFNWADXG}

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	2026-05-18T00:45:58.531702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eb1b619aaad0e13ce0479c256d803b99461f67e02cd34881bf36f5020f99d15

Aliases

arxiv: 1610.06432 · arxiv_version: 1610.06432v2 · doi: 10.48550/arxiv.1610.06432 · pith_short_12: N2Y3MGNKVUHB · pith_short_16: N2Y3MGNKVUHBHTQE · pith_short_8: N2Y3MGNK

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/N2Y3MGNKVUHBHTQEPHBFNWADXG \
  | 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: 6eb1b619aaad0e13ce0479c256d803b99461f67e02cd34881bf36f5020f99d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf406264e7f612dd42f0fcdb5c5677a3e5d93f09386329e94c59ac5c908de95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-20T14:33:40Z",
    "title_canon_sha256": "a066d1549e345d0973f312e799acb3d1c3481bd3d8fecf175ba630c083a6f893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06432",
    "kind": "arxiv",
    "version": 2
  }
}