Pith Number

pith:MGG5JJ6V

pith:2026:MGG5JJ6VNXM2HHVHSXWZVGKBWK

not attested not anchored not stored refs pending

Tur\'{a}n results for posets and their alternating cycles

Geir Agnarsson, John B. Kent

arxiv:2606.24877 v1 · 2026-06-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGG5JJ6VNXM2HHVHSXWZVGKBWK}

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	2026-06-24T01:15:45.187725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

618dd4a7d56dd9a39ea795ed9a9941b287e5bc17e6de139f4964c7be0db90c5e

Aliases

arxiv: 2606.24877 · arxiv_version: 2606.24877v1 · doi: 10.48550/arxiv.2606.24877 · pith_short_12: MGG5JJ6VNXM2 · pith_short_16: MGG5JJ6VNXM2HHVH · pith_short_8: MGG5JJ6V

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/MGG5JJ6VNXM2HHVHSXWZVGKBWK \
  | 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: 618dd4a7d56dd9a39ea795ed9a9941b287e5bc17e6de139f4964c7be0db90c5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da22222f70e0e7c09a80fa151122855a37e9c3ecc57ac8d5bd244acf56f4c061",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-23T17:54:28Z",
    "title_canon_sha256": "570763f006bdc508687adf58ef6f4de0367728446b13068fd156b1cc033ace43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24877",
    "kind": "arxiv",
    "version": 1
  }
}