Pith Number

pith:XL7Q7DYB

pith:2026:XL7Q7DYB74MOVM6RNOV7DREDUY

not attested not anchored not stored refs pending

The typical structure of oriented graphs and digraphs with forbidden blow-up of transitive tournaments

Jianxi Liu, Meili Liang, Ruiling Zheng, Yue Guan

arxiv:2605.18458 v1 · 2026-05-18 · 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{XL7Q7DYB74MOVM6RNOV7DREDUY}

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	2026-05-20T00:06:02.286629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baff0f8f01ff18eab3d16babf1c483a60fd5ac05cc298c1b800cea521917b2f1

Aliases

arxiv: 2605.18458 · arxiv_version: 2605.18458v1 · doi: 10.48550/arxiv.2605.18458 · pith_short_12: XL7Q7DYB74MO · pith_short_16: XL7Q7DYB74MOVM6R · pith_short_8: XL7Q7DYB

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/XL7Q7DYB74MOVM6RNOV7DREDUY \
  | 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: baff0f8f01ff18eab3d16babf1c483a60fd5ac05cc298c1b800cea521917b2f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8c4a5427f4f27440dd1e4a5a352bc7ec6debceb522bff7b779bd623f91c0a0b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-18T14:21:44Z",
    "title_canon_sha256": "6ad5337c923766deda48243d27143ea7b74525c9d130e6d2a27e43ade9c8baa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18458",
    "kind": "arxiv",
    "version": 1
  }
}