Pith Number

pith:HA325EWQ

pith:2024:HA325EWQGRHSFRRM6CHS44UUN5

not attested not anchored not stored refs pending

A Characterization of Claw-Free Graphs using Zero Forcing Invariants

Ben Small, Houston Schuerger, Randy Davila

arxiv:2412.03463 v2 · 2024-12-04 · 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{HA325EWQGRHSFRRM6CHS44UUN5}

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.

Cited by

1 paper in Pith

In Reverie Together: Ten Years of Mathematical Discovery with a Machine Collaborator

Receipt and verification

First computed	2026-07-05T09:50:54.746547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3837ae92d0344f22c62cf08f2e72946f5b4b7c2dbb087c0a0d62a573403a74c7

Aliases

arxiv: 2412.03463 · arxiv_version: 2412.03463v2 · doi: 10.48550/arxiv.2412.03463 · pith_short_12: HA325EWQGRHS · pith_short_16: HA325EWQGRHSFRRM · pith_short_8: HA325EWQ

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/HA325EWQGRHSFRRM6CHS44UUN5 \
  | 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: 3837ae92d0344f22c62cf08f2e72946f5b4b7c2dbb087c0a0d62a573403a74c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc59f4f5f65b01c1e3035092e1c7a95f41be769e4069870860c32a540ae6381",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-04T16:52:21Z",
    "title_canon_sha256": "1541f4dd11f6474fd615fc761207e8bde72b69df17241da6fb7bd69a0165deac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03463",
    "kind": "arxiv",
    "version": 2
  }
}