Pith Number

pith:G3XFFLDC

pith:2026:G3XFFLDCJB7J73PEPDNXYS2FDE

not attested not anchored not stored refs pending

A counterexample to the zero forcing versus independence conjecture for cubic and subcubic graphs

Mikko Fischer

arxiv:2607.23664 v1 · 2026-07-26 · 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{G3XFFLDCJB7J73PEPDNXYS2FDE}

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	2026-07-28T01:23:04.321779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36ee52ac62487e9fede478db7c4b451929794f0f1c2accf24c5de7987861f1f8

Aliases

arxiv: 2607.23664 · arxiv_version: 2607.23664v1 · doi: 10.48550/arxiv.2607.23664 · pith_short_12: G3XFFLDCJB7J · pith_short_16: G3XFFLDCJB7J73PE · pith_short_8: G3XFFLDC

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/G3XFFLDCJB7J73PEPDNXYS2FDE \
  | 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: 36ee52ac62487e9fede478db7c4b451929794f0f1c2accf24c5de7987861f1f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71f092324a211f0939ab430df4990f566d87c8e458546bf9bf8d4b285cac98a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-26T13:59:28Z",
    "title_canon_sha256": "e926e1b666a10a0c2a32db138b5a250fa096e1b2806252e37475acf98ca5da21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23664",
    "kind": "arxiv",
    "version": 1
  }
}