Pith Number

pith:O533EG6D

pith:2026:O533EG6DQ3O7S43GX3DGHSGVZU

not attested not anchored not stored refs pending

Transmission Zero Forcing

Adam H. Berliner, Chassidy Bozemanand Karen L. Collins, Mark Hunnell, Mary Flagg, Veronika Furst

arxiv:2606.22246 v1 · 2026-06-20 · 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{O533EG6DQ3O7S43GX3DGHSGVZU}

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	2026-06-23T02:13:32.897891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7777b21bc386ddf97366bec663c8d5cd1a01abbd9f62d1380a68f3aef5b50626

Aliases

arxiv: 2606.22246 · arxiv_version: 2606.22246v1 · doi: 10.48550/arxiv.2606.22246 · pith_short_12: O533EG6DQ3O7 · pith_short_16: O533EG6DQ3O7S43G · pith_short_8: O533EG6D

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/O533EG6DQ3O7S43GX3DGHSGVZU \
  | 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: 7777b21bc386ddf97366bec663c8d5cd1a01abbd9f62d1380a68f3aef5b50626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75026267a79c72886d07e76f782fadb6aaff58f82ae89edb84c88013f63b75e3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-20T22:11:12Z",
    "title_canon_sha256": "b5cc81487ac8d5ecc4f28ab2fdc3c76c65ea79bf7edef8a54eb83e2d1fb665e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22246",
    "kind": "arxiv",
    "version": 1
  }
}