Pith Number

pith:VNCQTAWU

pith:2011:VNCQTAWUQ7WYTWG2SBXESAODLV

not attested not anchored not stored refs pending

A note on higher-dimensional magic matrices

Christian Krattenthaler (Universit\"at Wien), Peter J. Cameron (Queen Mary), Thomas W. M\"uller (Queen Mary)

arxiv:1104.4938 v1 · 2011-04-26 · 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{VNCQTAWUQ7WYTWG2SBXESAODLV}

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	2026-05-18T04:23:32.704896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab450982d487ed89d8da906e4901c35d440810bdf8c3630ee110fcafc98f851b

Aliases

arxiv: 1104.4938 · arxiv_version: 1104.4938v1 · doi: 10.48550/arxiv.1104.4938 · pith_short_12: VNCQTAWUQ7WY · pith_short_16: VNCQTAWUQ7WYTWG2 · pith_short_8: VNCQTAWU

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/VNCQTAWUQ7WYTWG2SBXESAODLV \
  | 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: ab450982d487ed89d8da906e4901c35d440810bdf8c3630ee110fcafc98f851b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d02dc33748bee7de3531d7033abb4d535327d70601414f8f4ee699d9050686f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-26T14:50:58Z",
    "title_canon_sha256": "834a6bb6591cd93f427be1b5fcb8938ac2a62d8b73e81d96a59fa9fb3e8135d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4938",
    "kind": "arxiv",
    "version": 1
  }
}