Pith Number

pith:MBGG7SYV

pith:2025:MBGG7SYV6VRU3RTS46LVMFHQ46

not attested not anchored not stored refs pending

$k$-fold circuits and coning in rigidity matroids

Anthony Nixon, Ben Smith, Bill Jackson, John Hewetson

arxiv:2508.18838 v1 · 2025-08-26 · 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{MBGG7SYV6VRU3RTS46LVMFHQ46}

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

The number of realisations of a random graph

Receipt and verification

First computed	2026-07-05T11:59:32.073911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

604c6fcb15f5634dc672e7975614f0e78e3322f4b48ddfa81fd64f0a27059096

Aliases

arxiv: 2508.18838 · arxiv_version: 2508.18838v1 · doi: 10.48550/arxiv.2508.18838 · pith_short_12: MBGG7SYV6VRU · pith_short_16: MBGG7SYV6VRU3RTS · pith_short_8: MBGG7SYV

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/MBGG7SYV6VRU3RTS46LVMFHQ46 \
  | 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: 604c6fcb15f5634dc672e7975614f0e78e3322f4b48ddfa81fd64f0a27059096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c8b860d6c9a980d5cc2dd49b03311c1389ceede6196c5778594ff7803c197b0",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-26T09:14:57Z",
    "title_canon_sha256": "1c43e6e5c2a982287ecba266e7d03d850e8cff56d86bd573467880542bba4179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.18838",
    "kind": "arxiv",
    "version": 1
  }
}