Pith Number

pith:2Q5IGWZB

pith:2019:2Q5IGWZBEKMV5YM7U5UI7IQHC2

not attested not anchored not stored refs pending

Subdivisions of digraphs in tournaments

Ant\'onio Gir\~ao, Kamil Popielarz, Richard Snyder

arxiv:1908.03733 v1 · 2019-08-10 · 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{2Q5IGWZBEKMV5YM7U5UI7IQHC2}

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	2026-07-04T23:53:17.821756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d43a835b2122995ee19fa7688fa207169d2e7202520c3d0cc688601474ce25b1

Aliases

arxiv: 1908.03733 · arxiv_version: 1908.03733v1 · doi: 10.48550/arxiv.1908.03733 · pith_short_12: 2Q5IGWZBEKMV · pith_short_16: 2Q5IGWZBEKMV5YM7 · pith_short_8: 2Q5IGWZB

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/2Q5IGWZBEKMV5YM7U5UI7IQHC2 \
  | 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: d43a835b2122995ee19fa7688fa207169d2e7202520c3d0cc688601474ce25b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92d17f32f9d8822b751ad6c841cde36e5ec909e9f56d7943ea1e98b707879212",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-10T11:09:18Z",
    "title_canon_sha256": "4c0d445a339d524d7ba8a437cf26625e63201fd752bbe4d326f97a89fe9af369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03733",
    "kind": "arxiv",
    "version": 1
  }
}