Pith Number

pith:M2DBXIOO

pith:2018:M2DBXIOOG5XWT5P6PZ55QPTLIR

not attested not anchored not stored refs pending

Throttling positive semidefinite zero forcing propagation time on graphs

Joshua Carlson, J\"urgen Kritschgau, Kate Lorenzen, Leslie Hogben, Michael S. Ross, Seth Selken, Vicente Valle Martinez

arxiv:1807.09404 v1 · 2018-07-25 · 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{M2DBXIOOG5XWT5P6PZ55QPTLIR}

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	2026-05-18T00:09:51.429607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66861ba1ce376f69f5fe7e7bd83e6b4444fa3ea1fb0183f4966ac3a85c5a5696

Aliases

arxiv: 1807.09404 · arxiv_version: 1807.09404v1 · doi: 10.48550/arxiv.1807.09404 · pith_short_12: M2DBXIOOG5XW · pith_short_16: M2DBXIOOG5XWT5P6 · pith_short_8: M2DBXIOO

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/M2DBXIOOG5XWT5P6PZ55QPTLIR \
  | 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: 66861ba1ce376f69f5fe7e7bd83e6b4444fa3ea1fb0183f4966ac3a85c5a5696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dedc6fa2c757095fa3f51e8165abb298c6caaee725d4138a6d56d26427e590c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-25T01:09:18Z",
    "title_canon_sha256": "e433f558a7e1f02d50a99fb07e0f516029730ba334b3715d6a8c9b100fa312d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09404",
    "kind": "arxiv",
    "version": 1
  }
}