Pith Number

pith:DXY7AJTM

pith:2015:DXY7AJTM4SWSSO4QQFW7ELSEE6

not attested not anchored not stored refs pending

A tight bound on the size of certain separating hash families

Chuan Guo, Douglas R. Stinson

arxiv:1510.00293 v1 · 2015-10-01 · cs.IT · cs.DM · math.CO · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXY7AJTM4SWSSO4QQFW7ELSEE6}

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	2026-05-18T01:31:19.679181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df1f0266ce4ad293b90816df22e4427a23f0d0361f21984eb88718d5af9f2a2

Aliases

arxiv: 1510.00293 · arxiv_version: 1510.00293v1 · doi: 10.48550/arxiv.1510.00293 · pith_short_12: DXY7AJTM4SWS · pith_short_16: DXY7AJTM4SWSSO4Q · pith_short_8: DXY7AJTM

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/DXY7AJTM4SWSSO4QQFW7ELSEE6 \
  | 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: 1df1f0266ce4ad293b90816df22e4427a23f0d0361f21984eb88718d5af9f2a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85907ea5128814dd3ccf84f32208a3ba641cdc493c823c84e9ba5e0cf4d5d35c",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-01T15:59:48Z",
    "title_canon_sha256": "b7415e4bdf45478570782e1426c035022cb4d7f1cab2aaff3826355b1b7a4b50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00293",
    "kind": "arxiv",
    "version": 1
  }
}