Pith Number

pith:MWQBADXX

pith:2019:MWQBADXXLCKPBF4TZUSBT2BMOF

not attested not anchored not stored refs pending

On even-cycle-free subgraphs of the doubled Johnson graphs

Benjian Lv, Kaishun Wang, Mengyu Cao

arxiv:1907.02725 v1 · 2019-07-05 · 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{MWQBADXXLCKPBF4TZUSBT2BMOF}

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	2026-05-17T23:41:23.379361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a0100ef75894f09793cd2419e82c71573658aa0e0ce742544a3bfadd65c7a5

Aliases

arxiv: 1907.02725 · arxiv_version: 1907.02725v1 · doi: 10.48550/arxiv.1907.02725 · pith_short_12: MWQBADXXLCKP · pith_short_16: MWQBADXXLCKPBF4T · pith_short_8: MWQBADXX

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/MWQBADXXLCKPBF4TZUSBT2BMOF \
  | 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: 65a0100ef75894f09793cd2419e82c71573658aa0e0ce742544a3bfadd65c7a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6802e4bb4658109cfa3486368b8efacf3a59599cdc4d1f16b4927b01655a2de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-05T08:41:18Z",
    "title_canon_sha256": "3b4ba488ef85ffa364fed6ab3b138842369b15521b20aacc6c02a67e40789c32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02725",
    "kind": "arxiv",
    "version": 1
  }
}