Pith Number

pith:IOZGGEUF

pith:2016:IOZGGEUFE4QJIMT4U232HVRFCO

not attested not anchored not stored refs pending

Two problems on matchings in set families - in the footsteps of Erd\H{o}s and Kleitman

Andrey Kupavskii, Peter Frankl

arxiv:1607.06126 v3 · 2016-07-20 · 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	2026-05-18T00:03:20.009875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43b2631285272094327ca6b7a3d62513b737e82c5d0426953a0c006b4dfe8090

Aliases

arxiv: 1607.06126 · arxiv_version: 1607.06126v3 · doi: 10.48550/arxiv.1607.06126 · pith_short_12: IOZGGEUFE4QJ · pith_short_16: IOZGGEUFE4QJIMT4 · pith_short_8: IOZGGEUF

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/IOZGGEUFE4QJIMT4U232HVRFCO \
  | 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: 43b2631285272094327ca6b7a3d62513b737e82c5d0426953a0c006b4dfe8090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca20b5692a72e59b5dde1fac012e6e0e509b9d1bcce66a32745e7a799fc5dc0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-20T21:05:50Z",
    "title_canon_sha256": "ff84557f3d9e857ae9e0cb26671146dc053a9a4ffcd4fd5e295a786d995b07a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06126",
    "kind": "arxiv",
    "version": 3
  }
}