Pith Number

pith:DYYDN657

pith:2026:DYYDN657HJZ4GDSRMXJYUIHVE3

not attested not anchored not stored refs pending

Long Directed Cycles in Vertex-Transitive Digraphs

Abhishek Methuku, Bowen Li

arxiv:2607.05807 v1 · 2026-07-07 · 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{DYYDN657HJZ4GDSRMXJYUIHVE3}

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	2026-07-08T01:18:46.689500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e3036fbbf3a73c30e5165d38a20f526fd69ef23fcf2621dec4d108ecd296c06

Aliases

arxiv: 2607.05807 · arxiv_version: 2607.05807v1 · doi: 10.48550/arxiv.2607.05807 · pith_short_12: DYYDN657HJZ4 · pith_short_16: DYYDN657HJZ4GDSR · pith_short_8: DYYDN657

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/DYYDN657HJZ4GDSRMXJYUIHVE3 \
  | 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: 1e3036fbbf3a73c30e5165d38a20f526fd69ef23fcf2621dec4d108ecd296c06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d0077c64307d4f75f7881ebdb06b4bf980ab93e5176d908f3da5d7366a25ee6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-07T04:02:25Z",
    "title_canon_sha256": "76c45f74d678c1da6d14ebffdb92dc850423e43b2edd5a554329e6221059de7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05807",
    "kind": "arxiv",
    "version": 1
  }
}