Pith Number

pith:RUNKPDKI

pith:2023:RUNKPDKIEEVIEBJMN55ZPI5KWT

not attested not anchored not stored refs pending

Separating the edges of a graph by a linear number of paths

F\'abio Botler, Fran\c{c}ois Dross, Jozef Skokan, Marthe Bonamy, T\'assio Naia

arxiv:2301.08707 v3 · 2023-01-20 · 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{RUNKPDKIEEVIEBJMN55ZPI5KWT}

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	2026-07-05T06:58:54.733705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d1aa78d48212a82052c6f7b97a3aab4ecb5d821385b4a78f5e163803938929d

Aliases

arxiv: 2301.08707 · arxiv_version: 2301.08707v3 · doi: 10.48550/arxiv.2301.08707 · pith_short_12: RUNKPDKIEEVI · pith_short_16: RUNKPDKIEEVIEBJM · pith_short_8: RUNKPDKI

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/RUNKPDKIEEVIEBJMN55ZPI5KWT \
  | 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: 8d1aa78d48212a82052c6f7b97a3aab4ecb5d821385b4a78f5e163803938929d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c411aa2b5ef887c3f660ea83c74efea14a993f05c2e2bdd9f004b9921c17b1",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-01-20T18:04:53Z",
    "title_canon_sha256": "77550087e804d22e9202a7c490667d4223e84abb35b6c10257d5dc16ca46d2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.08707",
    "kind": "arxiv",
    "version": 3
  }
}