Pith Number

pith:DZAP55CE

pith:2017:DZAP55CEHZMXXP2YIJGSTV7ZAW

not attested not anchored not stored refs pending

Counting intersecting and pairs of cross-intersecting families

Andrey Kupavskii, Peter Frankl

arxiv:1701.04110 v2 · 2017-01-15 · math.CO · cs.DM

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

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	2026-05-18T00:29:21.040443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e40fef4443e597bbf58424d29d7f9058fb30a7796091724699107b56d23e6ef

Aliases

arxiv: 1701.04110 · arxiv_version: 1701.04110v2 · doi: 10.48550/arxiv.1701.04110 · pith_short_12: DZAP55CEHZMX · pith_short_16: DZAP55CEHZMXXP2Y · pith_short_8: DZAP55CE

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/DZAP55CEHZMXXP2YIJGSTV7ZAW \
  | 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: 1e40fef4443e597bbf58424d29d7f9058fb30a7796091724699107b56d23e6ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6c566d17728242afae57b6f63613d07de047a0d00ae5dfe67cd62c295622125",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-15T21:01:55Z",
    "title_canon_sha256": "21cb88d8af1bbe1a2b229733487796107b2b5bc501e782845e816b44193b3508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04110",
    "kind": "arxiv",
    "version": 2
  }
}