Pith Number

pith:YW4V7JMG

pith:2016:YW4V7JMGSA7OHSRTHBD5S2WHHB

not attested not anchored not stored refs pending

Uniform s-cross-intersecting families

Andrey Kupavskii, Peter Frankl

arxiv:1611.07258 v2 · 2016-11-22 · 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	2026-05-18T00:29:21.114879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5b95fa586903ee3ca333847d96ac73866a902330d0dde9215642d061e6012de

Aliases

arxiv: 1611.07258 · arxiv_version: 1611.07258v2 · doi: 10.48550/arxiv.1611.07258 · pith_short_12: YW4V7JMGSA7O · pith_short_16: YW4V7JMGSA7OHSRT · pith_short_8: YW4V7JMG

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/YW4V7JMGSA7OHSRTHBD5S2WHHB \
  | 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: c5b95fa586903ee3ca333847d96ac73866a902330d0dde9215642d061e6012de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a6a2ce2897612cee9d5097657e6203d1467d740caef2c8dab88b385fccf4fb",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-22T11:41:00Z",
    "title_canon_sha256": "43b7055a4a1ec54b0288cd72c3f406bf2add44697a9824eef0bd00f374c2fec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07258",
    "kind": "arxiv",
    "version": 2
  }
}