Pith Number

pith:PBILWERT

pith:2010:PBILWERTLNHVBH4M2DWETJN462

not attested not anchored not stored refs pending

On maximal distances in a commuting graph

Bojan Kuzma, Gregor Dolinar, Polona Oblak

arxiv:1009.5543 v1 · 2010-09-28 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBILWERTLNHVBH4M2DWETJN462}

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	2026-05-18T04:40:09.871344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7850bb12335b4f509f8cd0ec49a5bcf699208c91b5701a3b10474f855f3f5d27

Aliases

arxiv: 1009.5543 · arxiv_version: 1009.5543v1 · doi: 10.48550/arxiv.1009.5543 · pith_short_12: PBILWERTLNHV · pith_short_16: PBILWERTLNHVBH4M · pith_short_8: PBILWERT

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/PBILWERTLNHVBH4M2DWETJN462 \
  | 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: 7850bb12335b4f509f8cd0ec49a5bcf699208c91b5701a3b10474f855f3f5d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf3e2f18df60abd55c569be39a35d95cc74729d66b5e8f9eaeae8781f5e13880",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-09-28T11:59:33Z",
    "title_canon_sha256": "ea88dc13e9b45724a55147ceac39b2d30308c9802bab953b4db11c92932907ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5543",
    "kind": "arxiv",
    "version": 1
  }
}