Pith Number

pith:N4SGRY6D

pith:2012:N4SGRY6DDTXRPJZRRWTZMD4QOA

not attested not anchored not stored refs pending

Mutually unbiased bases as submodules and subspaces

Jan Stovicek, Joanne L. Hall

arxiv:1206.0531 v1 · 2012-06-04 · math.CO · cs.IT · math.IT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4SGRY6DDTXRPJZRRWTZMD4QOA}

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	2026-05-18T03:54:17.415322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f2468e3c31cef17a7318da7960f90700abbb14313cd1959d560404fa48753d3

Aliases

arxiv: 1206.0531 · arxiv_version: 1206.0531v1 · doi: 10.48550/arxiv.1206.0531 · pith_short_12: N4SGRY6DDTXR · pith_short_16: N4SGRY6DDTXRPJZR · pith_short_8: N4SGRY6D

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/N4SGRY6DDTXRPJZRRWTZMD4QOA \
  | 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: 6f2468e3c31cef17a7318da7960f90700abbb14313cd1959d560404fa48753d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "100d489c073c70bc3e19d933a31e4315cc6e8e3e959eab19f1f3d1a0f6362bc1",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-04T06:53:42Z",
    "title_canon_sha256": "de23ba94ce74cfc9ab56bda03358aef81b43773f05c0049e1d938fe9e19ffd0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0531",
    "kind": "arxiv",
    "version": 1
  }
}