Pith Number

pith:5BPR54HE

pith:2022:5BPR54HEPPQHMB4ONKJHCWQXBL

not attested not anchored not stored refs pending

Invertibility of digraphs and tournaments

Alex Scott, Elizabeth Wilmer, Emil Powierski, Michael Savery, Noga Alon

arxiv:2212.11969 v3 · 2022-12-22 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BPR54HEPPQHMB4ONKJHCWQXBL}

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.

Cited by

1 paper in Pith

On the $(\leq p)$-inversion diameter of oriented graphs

Receipt and verification

First computed	2026-07-05T07:35:59.129378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e85f1ef0e47be076078e6a92715a170aceef9e096631661602f84c1203421303

Aliases

arxiv: 2212.11969 · arxiv_version: 2212.11969v3 · doi: 10.48550/arxiv.2212.11969 · pith_short_12: 5BPR54HEPPQH · pith_short_16: 5BPR54HEPPQHMB4O · pith_short_8: 5BPR54HE

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/5BPR54HEPPQHMB4ONKJHCWQXBL \
  | 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: e85f1ef0e47be076078e6a92715a170aceef9e096631661602f84c1203421303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a0517332f0e58c4241f16a4e1715e1951a269704a375c91e977ce51076fa75",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-22T18:52:33Z",
    "title_canon_sha256": "e180bca14b47b258618b8d87f731df568f13f0ea55b24d77885abc15684d8d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.11969",
    "kind": "arxiv",
    "version": 3
  }
}