Pith Number

pith:DVF7BUG5

pith:2022:DVF7BUG56KGCI7DXDVWUOVVU33

not attested not anchored not stored refs pending

Problems, proofs, and disproofs on the inversion number

Cl\'ement Rambaud, Felix Klingelhoefer, Florian H\"orsch, Fr\'ed\'eric Havet, Guillaume Aubian, Nicolas Nisse, Quentin Vermande

arxiv:2212.09188 v3 · 2022-12-18 · 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{DVF7BUG56KGCI7DXDVWUOVVU33}

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	2026-07-05T05:27:49.945058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d4bf0d0ddf28c247c771d6d4756b4dec52d1a9f14b7cbb830ddd2f5a312f253

Aliases

arxiv: 2212.09188 · arxiv_version: 2212.09188v3 · doi: 10.48550/arxiv.2212.09188 · pith_short_12: DVF7BUG56KGC · pith_short_16: DVF7BUG56KGCI7DX · pith_short_8: DVF7BUG5

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/DVF7BUG56KGCI7DXDVWUOVVU33 \
  | 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: 1d4bf0d0ddf28c247c771d6d4756b4dec52d1a9f14b7cbb830ddd2f5a312f253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e1e57172c37e6b3fb14605913102c13d03726d31a1fc1a3f89ae80229505325",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-18T23:02:24Z",
    "title_canon_sha256": "a62335025e146ebe0657fcc30fd3b59b8e91cd71fc287d4aff3235413c65787d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.09188",
    "kind": "arxiv",
    "version": 3
  }
}