Pith Number

pith:7H4CPE4Z

pith:2015:7H4CPE4ZOYGYN5LEVBMHX2B66Y

not attested not anchored not stored refs pending

Generalising separating families of fixed size

Cory T. Palmer, D\'aniel Gerbner, Dominik K. Vu, Fabr\'icio S. Benevides

arxiv:1509.00131 v1 · 2015-09-01 · 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{7H4CPE4ZOYGYN5LEVBMHX2B66Y}

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	2026-05-18T01:34:30.553666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f8279399760d86f564a8587be83ef601d1b51a23e65c56cb0383b37a51e051

Aliases

arxiv: 1509.00131 · arxiv_version: 1509.00131v1 · doi: 10.48550/arxiv.1509.00131 · pith_short_12: 7H4CPE4ZOYGY · pith_short_16: 7H4CPE4ZOYGYN5LE · pith_short_8: 7H4CPE4Z

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/7H4CPE4ZOYGYN5LEVBMHX2B66Y \
  | 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: f9f8279399760d86f564a8587be83ef601d1b51a23e65c56cb0383b37a51e051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd73125994b72c18a051d06cc85702357522ee665ff59c35182583e39bfb4647",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-01T04:07:15Z",
    "title_canon_sha256": "e48153ef15992eb20203fd9548c2d8ea95f317a957b4f29ed0450ac0bc1f9f85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00131",
    "kind": "arxiv",
    "version": 1
  }
}