Pith Number

pith:VHV622XE

pith:2017:VHV622XELQBWQO5S7CW7IW6P4T

not attested not anchored not stored refs pending

Total Forcing and Zero Forcing in Claw-Free Cubic Graphs

Michael Henning, Randy Davila

arxiv:1708.05041 v1 · 2017-08-16 · 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{VHV622XELQBWQO5S7CW7IW6P4T}

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	2026-05-18T00:37:54.034555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9ebed6ae45c03683bb2f8adf45bcfe4d40a1749a6eb7907af2adc7552b890e7

Aliases

arxiv: 1708.05041 · arxiv_version: 1708.05041v1 · doi: 10.48550/arxiv.1708.05041 · pith_short_12: VHV622XELQBW · pith_short_16: VHV622XELQBWQO5S · pith_short_8: VHV622XE

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/VHV622XELQBWQO5S7CW7IW6P4T \
  | 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: a9ebed6ae45c03683bb2f8adf45bcfe4d40a1749a6eb7907af2adc7552b890e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bf27decaf3a1c0f7c8fddee56fc6937311fa01ba6e742a0f7e3260d510548ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-16T19:09:04Z",
    "title_canon_sha256": "72298886162a66fb4afddec465ff81816399c2914d5413604b52c3638b58bad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05041",
    "kind": "arxiv",
    "version": 1
  }
}