Pith Number

pith:42QZDE6J

pith:2010:42QZDE6JB7ZHYJPAHBYRHFCGZI

not attested not anchored not stored refs pending

On the metric dimension of Grassmann graphs

Karen Meagher, Robert F. Bailey

arxiv:1010.4495 v3 · 2010-10-21 · 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{42QZDE6JB7ZHYJPAHBYRHFCGZI}

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	2026-05-18T04:07:43.185804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a19193c90ff27c25e03871139446ca12390f83cae6fed31bdd2ee2fd9c67bb

Aliases

arxiv: 1010.4495 · arxiv_version: 1010.4495v3 · doi: 10.48550/arxiv.1010.4495 · pith_short_12: 42QZDE6JB7ZH · pith_short_16: 42QZDE6JB7ZHYJPA · pith_short_8: 42QZDE6J

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/42QZDE6JB7ZHYJPAHBYRHFCGZI \
  | 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: e6a19193c90ff27c25e03871139446ca12390f83cae6fed31bdd2ee2fd9c67bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbb4bdb333fcdd9ec2f8f10bf20b6ce222a5fda02a06bbc27b7794f9fa28ba3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-21T15:25:32Z",
    "title_canon_sha256": "0d81f3598a268d97f13160a24e2ddfd793d1b9c16fbb097afff736554d283096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4495",
    "kind": "arxiv",
    "version": 3
  }
}