Pith Number

pith:Q6R222HZ

pith:2017:Q6R222HZW42SNSQOCUH55N2T6X

not attested not anchored not stored refs pending

Cutting Planes for Families Implying Frankl's Conjecture

Jonad Pulaj

arxiv:1702.05947 v2 · 2017-02-20 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q6R222HZW42SNSQOCUH55N2T6X}

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	2026-05-18T00:14:22.761161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a3ad68f9b73526ca0e150fdeb753f5efb4e9ed60d122279ee04158113937ee

Aliases

arxiv: 1702.05947 · arxiv_version: 1702.05947v2 · doi: 10.48550/arxiv.1702.05947 · pith_short_12: Q6R222HZW42S · pith_short_16: Q6R222HZW42SNSQO · pith_short_8: Q6R222HZ

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/Q6R222HZW42SNSQOCUH55N2T6X \
  | 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: 87a3ad68f9b73526ca0e150fdeb753f5efb4e9ed60d122279ee04158113937ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e9464f5ff5d47a484d276bd7070d996d15330ba3f11322b9ab56a3704c8281",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-20T12:31:24Z",
    "title_canon_sha256": "e3397fc5b3f7c978387bc85ac5a3f9b3840f810a539d8ee78fd3d73b4a87226b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05947",
    "kind": "arxiv",
    "version": 2
  }
}