Pith Number

pith:PXZ4NXNW

pith:2023:PXZ4NXNWNVYFHG2HPGLPFF2KQE

not attested not anchored not stored refs pending

New Structures and their Applications to Variants of Zero Forcing and Propagation Time

Ben Small, Houston Schuerger, Kevin Liu, Leslie Hogben, Mark Hunnell, Yaqi Zhang

arxiv:2307.10548 v1 · 2023-07-20 · 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{PXZ4NXNWNVYFHG2HPGLPFF2KQE}

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	2026-07-05T06:33:06.822563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df3c6ddb66d70539b477996f2974a813c18846fb0e1fa8f5cbc877b9e4c4cbb

Aliases

arxiv: 2307.10548 · arxiv_version: 2307.10548v1 · doi: 10.48550/arxiv.2307.10548 · pith_short_12: PXZ4NXNWNVYF · pith_short_16: PXZ4NXNWNVYFHG2H · pith_short_8: PXZ4NXNW

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/PXZ4NXNWNVYFHG2HPGLPFF2KQE \
  | 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: 7df3c6ddb66d70539b477996f2974a813c18846fb0e1fa8f5cbc877b9e4c4cbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55edca33361d7e40e487a6ee337c1e8826970a682e8826b5e6dd3e60e780ba1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-20T03:14:08Z",
    "title_canon_sha256": "2cc3d3b53f1a7d89cebe5fe0b3b6bb981beb02f0661906a2d6f9c4c0ac254545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.10548",
    "kind": "arxiv",
    "version": 1
  }
}