Pith Number

pith:TXM42VX7

pith:2017:TXM42VX76LNCFMUTPGCEVLXKWA

not attested not anchored not stored refs pending

Maximum nullity and zero forcing number on cubic graphs

Ebrahim Vatandoost, Saieed Akbari, Yasser Golkhandy Pour

arxiv:1705.09773 v1 · 2017-05-27 · 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{TXM42VX76LNCFMUTPGCEVLXKWA}

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	2026-05-18T00:43:34.493333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd9cd56fff2da22b29379844aaeeab01270e0493187a7830952f3bdba112b75

Aliases

arxiv: 1705.09773 · arxiv_version: 1705.09773v1 · doi: 10.48550/arxiv.1705.09773 · pith_short_12: TXM42VX76LNC · pith_short_16: TXM42VX76LNCFMUT · pith_short_8: TXM42VX7

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/TXM42VX76LNCFMUTPGCEVLXKWA \
  | 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: 9dd9cd56fff2da22b29379844aaeeab01270e0493187a7830952f3bdba112b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af694a0280eb1585bf717a39eefc5408b2e29dbff41e7f55f987e0a3be234f6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-27T06:32:00Z",
    "title_canon_sha256": "75d286c6f1bf4f4fa0db134503ecd488befbe8493b6d8d2d1c938b7c62c979b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09773",
    "kind": "arxiv",
    "version": 1
  }
}