Pith Number

pith:2R77TJTS

pith:2024:2R77TJTSQ67BS7L6JA7NBTVICH

not attested not anchored not stored refs pending

The Zero Forcing Numbers of Peony Graphs and Web Graphs

Andrew Schwartz, Houston Schuerger, Kanno Mizozoe, Sara Anderton

arxiv:2409.04717 v1 · 2024-09-07 · 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{2R77TJTSQ67BS7L6JA7NBTVICH}

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	2026-07-05T09:04:16.907070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d47ff9a67287be197d7e483ed0cea811feed2b3dbd80a08d60ce08aa686ddfbf

Aliases

arxiv: 2409.04717 · arxiv_version: 2409.04717v1 · doi: 10.48550/arxiv.2409.04717 · pith_short_12: 2R77TJTSQ67B · pith_short_16: 2R77TJTSQ67BS7L6 · pith_short_8: 2R77TJTS

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/2R77TJTSQ67BS7L6JA7NBTVICH \
  | 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: d47ff9a67287be197d7e483ed0cea811feed2b3dbd80a08d60ce08aa686ddfbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f56d0e448e8ba505c52b540228aaffb6c64ceaea805f380c0227c41b0aa4dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-07T05:35:11Z",
    "title_canon_sha256": "2a2a0ebccf1eb2cc69452762a1dc0d8d1930e83459d17c0b495d7aa8bc3971b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.04717",
    "kind": "arxiv",
    "version": 1
  }
}