Pith Number

pith:S5DRMRTJ

pith:2005:S5DRMRTJIPGUFOFRWETV7ATHEA

not attested not anchored not stored refs pending

Equiangular lines, mutually unbiased bases, and spin models

Aidan Roy, Chris Godsil

arxiv:quant-ph/0511004 v3 · 2005-11-01 · 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{S5DRMRTJIPGUFOFRWETV7ATHEA}

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	2026-05-18T04:22:32.087911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

974716466943cd42b8b1b1275f82672018f882009f1af218955ef53b87608a48

Aliases

arxiv: quant-ph/0511004 · arxiv_version: quant-ph/0511004v3 · doi: 10.48550/arxiv.quant-ph/0511004 · pith_short_12: S5DRMRTJIPGU · pith_short_16: S5DRMRTJIPGUFOFR · pith_short_8: S5DRMRTJ

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/S5DRMRTJIPGUFOFRWETV7ATHEA \
  | 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: 974716466943cd42b8b1b1275f82672018f882009f1af218955ef53b87608a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de8abbf71dc53484de98a4087ae3e4ce22ac07acbf31a813b38b45189c438e1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-11-01T20:56:09Z",
    "title_canon_sha256": "9543097a9ccf144f90f4ba543585bf08b36cb0388e736853bb0ab9766985201e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0511004",
    "kind": "arxiv",
    "version": 3
  }
}