Pith Number

pith:QPXNGA7T

pith:2023:QPXNGA7TZTIETXDSKPT5ZEY5ET

not attested not anchored not stored refs pending

Every $d(d+1)$-connected graph is globally rigid in $\mathbb{R}^d$

Soma Vill\'anyi

arxiv:2312.02028 v1 · 2023-12-04 · 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{QPXNGA7TZTIETXDSKPT5ZEY5ET}

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

Minimum degree conditions for graph rigidity

Receipt and verification

First computed	2026-07-05T07:20:02.953071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83eed303f3ccd049dc7253e7dc931d24e6944666ce33b724d85f27aa3598b132

Aliases

arxiv: 2312.02028 · arxiv_version: 2312.02028v1 · doi: 10.48550/arxiv.2312.02028 · pith_short_12: QPXNGA7TZTIE · pith_short_16: QPXNGA7TZTIETXDS · pith_short_8: QPXNGA7T

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/QPXNGA7TZTIETXDSKPT5ZEY5ET \
  | 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: 83eed303f3ccd049dc7253e7dc931d24e6944666ce33b724d85f27aa3598b132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90d3fce0decb204afe0672e678bcefc3e8c67e5830fc14daefc25d0105b869ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-12-04T16:50:27Z",
    "title_canon_sha256": "8f9ad730f8de5489c9c1f81f226f394aa2e8ee03e903feb05ba9c5d463bfd61c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.02028",
    "kind": "arxiv",
    "version": 1
  }
}