Pith Number

pith:J5OC2PNQ

pith:2012:J5OC2PNQXYZCDM77UWFD2LXTBR

not attested not anchored not stored refs pending

Mutually unbiased triplets from non-affine families of complex Hadamard matrices in dimension six

D. Goyeneche

arxiv:1209.4126 v2 · 2012-09-19 · quant-ph · 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{J5OC2PNQXYZCDM77UWFD2LXTBR}

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	2026-05-18T03:27:22.990177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f5c2d3db0be3221b3ffa58a3d2ef30c72c225febeb26dd261de332ff0af67f7

Aliases

arxiv: 1209.4126 · arxiv_version: 1209.4126v2 · doi: 10.48550/arxiv.1209.4126 · pith_short_12: J5OC2PNQXYZC · pith_short_16: J5OC2PNQXYZCDM77 · pith_short_8: J5OC2PNQ

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/J5OC2PNQXYZCDM77UWFD2LXTBR \
  | 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: 4f5c2d3db0be3221b3ffa58a3d2ef30c72c225febeb26dd261de332ff0af67f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09110f2706b7a8b832acfb48804eed2dc8eb89f4db3156f2e9be54a0835826e6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-19T00:42:49Z",
    "title_canon_sha256": "e0c4ce6e1b12b16d5709985fb54bb9b5a8f004f787daaf63125f9603a474dcdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4126",
    "kind": "arxiv",
    "version": 2
  }
}