Pith Number

pith:XORRCGG7

pith:2022:XORRCGG7ELXOSVXKOTKQXGVXA5

not attested not anchored not stored refs pending

Perfect matchings in down-sets

Andrey Kupavskii, Peter Frankl

arxiv:2201.03865 v1 · 2022-01-11 · 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{XORRCGG7ELXOSVXKOTKQXGVXA5}

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	2026-07-05T03:47:34.733142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba31118df22eee956ea74d50b9ab70748350a524f86f56e11f377aad3e0fa11

Aliases

arxiv: 2201.03865 · arxiv_version: 2201.03865v1 · doi: 10.48550/arxiv.2201.03865 · pith_short_12: XORRCGG7ELXO · pith_short_16: XORRCGG7ELXOSVXK · pith_short_8: XORRCGG7

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/XORRCGG7ELXOSVXKOTKQXGVXA5 \
  | 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: bba31118df22eee956ea74d50b9ab70748350a524f86f56e11f377aad3e0fa11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea331554aae165938d1978f06bc89235c172450cf08fa8b073f5239d205c1171",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-01-11T10:04:57Z",
    "title_canon_sha256": "5bc9e8dba0b3ab39afb7afbc37c3886370c2503f7e3217df9b977e3838e357ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.03865",
    "kind": "arxiv",
    "version": 1
  }
}