Pith Number

pith:HSFZBI4A

pith:2025:HSFZBI4ADX3YGRNHABBZO6LTGR

not attested not anchored not stored refs pending

5-regular graphs and the 3-dimensional rigidity matroid

Anthony Nixon, Rebecca Monks

arxiv:2506.22214 v1 · 2025-06-27 · 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{HSFZBI4ADX3YGRNHABBZO6LTGR}

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	2026-07-05T11:28:23.737588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8b90a3801df78345a700439779733447748919dd955f0115351146a3dd866d

Aliases

arxiv: 2506.22214 · arxiv_version: 2506.22214v1 · doi: 10.48550/arxiv.2506.22214 · pith_short_12: HSFZBI4ADX3Y · pith_short_16: HSFZBI4ADX3YGRNH · pith_short_8: HSFZBI4A

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/HSFZBI4ADX3YGRNHABBZO6LTGR \
  | 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: 3c8b90a3801df78345a700439779733447748919dd955f0115351146a3dd866d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e642b9aad1597e9ca6eb227939b932fcbd93923f985b70f4c24131b0bf69165",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-27T13:33:21Z",
    "title_canon_sha256": "ad38b255ca780577e0ae08f0e13d6e898bebfe846d44eff8584db1a2a149876e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22214",
    "kind": "arxiv",
    "version": 1
  }
}