Pith Number

pith:VWONK2HM

pith:2025:VWONK2HMCYJ2EHCSUDKPCIYUDS

not attested not anchored not stored refs pending

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory

Bill Jackson, D\'aniel Garamv\"olgyi, Tibor Jord\'an

arxiv:2509.03150 v1 · 2025-09-03 · math.CO · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWONK2HMCYJ2EHCSUDKPCIYUDS}

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

Cliques in minimally globally rigid graphs

Receipt and verification

First computed	2026-07-05T12:04:05.023265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad9cd568ec1613a21c52a0d4f123141c95443c1e99d365158e28f0329defdefe

Aliases

arxiv: 2509.03150 · arxiv_version: 2509.03150v1 · doi: 10.48550/arxiv.2509.03150 · pith_short_12: VWONK2HMCYJ2 · pith_short_16: VWONK2HMCYJ2EHCS · pith_short_8: VWONK2HM

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/VWONK2HMCYJ2EHCSUDKPCIYUDS \
  | 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: ad9cd568ec1613a21c52a0d4f123141c95443c1e99d365158e28f0329defdefe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b0b4f31ef1e4941498ae794acc39dd8b538d0c67d7e2002463e81d47b68c6b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-03T09:03:24Z",
    "title_canon_sha256": "80625e0603880f0be4a4d1ab95ecd8612ec92e5c165995eb93d2783d9f0a39f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03150",
    "kind": "arxiv",
    "version": 1
  }
}