Pith Number

pith:4BES322L

pith:2016:4BES322LJDEMACYHSHFIMGUMJO

not attested not anchored not stored refs pending

Short cycles in digraphs and the Caccetta-H\"{a}ggkvist conjecture

Muhammad A. Khan

arxiv:1610.05292 v2 · 2016-10-17 · 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{4BES322LJDEMACYHSHFIMGUMJO}

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	2026-05-18T01:01:44.149502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0492deb4b48c8c00b0791ca861a8c4bb0fd0d523ad4af43205a534250ed71b0

Aliases

arxiv: 1610.05292 · arxiv_version: 1610.05292v2 · doi: 10.48550/arxiv.1610.05292 · pith_short_12: 4BES322LJDEM · pith_short_16: 4BES322LJDEMACYH · pith_short_8: 4BES322L

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/4BES322LJDEMACYHSHFIMGUMJO \
  | 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: e0492deb4b48c8c00b0791ca861a8c4bb0fd0d523ad4af43205a534250ed71b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aedc9f60e13db215e30d5246cd40f91a40ce06f9f9844b9b7da54532199655e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-17T19:51:12Z",
    "title_canon_sha256": "e1cf544d52ad1a745f814724fea6b4696f48a6bbfadd55666d43fea023025f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05292",
    "kind": "arxiv",
    "version": 2
  }
}