Pith Number

pith:YC7KO3Y6

pith:2019:YC7KO3Y6HMUFE6BCTGT6QHHMNB

not attested not anchored not stored refs pending

Beyond the Erd\H{o}s Matching Conjecture

Andrey Kupavskii, Peter Frankl

arxiv:1901.09278 v4 · 2019-01-26 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YC7KO3Y6HMUFE6BCTGT6QHHMNB}

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	2026-07-05T02:02:49.968978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0bea76f1e3b2852782299a7e81cec68761cd04ba6ea83c9b81f8ad842399816

Aliases

arxiv: 1901.09278 · arxiv_version: 1901.09278v4 · doi: 10.48550/arxiv.1901.09278 · pith_short_12: YC7KO3Y6HMUF · pith_short_16: YC7KO3Y6HMUFE6BC · pith_short_8: YC7KO3Y6

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/YC7KO3Y6HMUFE6BCTGT6QHHMNB \
  | 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: c0bea76f1e3b2852782299a7e81cec68761cd04ba6ea83c9b81f8ad842399816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e21e418c49694e4cac2fe6a2af769bea1c30a713fc4a896d3d105835c00b98",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-26T21:02:17Z",
    "title_canon_sha256": "549e86cdcc1f8d1585a6ee6661dc36afd5c9cec860746fb13b899a92b2a086e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09278",
    "kind": "arxiv",
    "version": 4
  }
}