Pith Number

pith:VMSZGSGS

pith:2014:VMSZGSGSDG7N4L4B3VKGLH76A3

not attested not anchored not stored refs pending

Zero forcing number, constrained matchings and strong structural controllability

Jean-Charles Delvenne, Maguy Trefois

arxiv:1405.6222 v2 · 2014-04-07 · cs.DM · 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{VMSZGSGSDG7N4L4B3VKGLH76A3}

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	2026-05-18T01:55:53.451852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab259348d219bede2f81dd54659ffe06db968d461557c2d49c5e7829cd9eca38

Aliases

arxiv: 1405.6222 · arxiv_version: 1405.6222v2 · doi: 10.48550/arxiv.1405.6222 · pith_short_12: VMSZGSGSDG7N · pith_short_16: VMSZGSGSDG7N4L4B · pith_short_8: VMSZGSGS

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/VMSZGSGSDG7N4L4B3VKGLH76A3 \
  | 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: ab259348d219bede2f81dd54659ffe06db968d461557c2d49c5e7829cd9eca38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83753bb64cd6fefeb24e2a92de9dd22237075ec8e4b91a464d79951b0839349c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-04-07T16:21:20Z",
    "title_canon_sha256": "fc8f835c05040ab8cc6016da6f285a521b16878ed3d0e1cc1425258c478f2ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6222",
    "kind": "arxiv",
    "version": 2
  }
}