Pith Number

pith:5UYKBITO

pith:2017:5UYKBITOX57WPUOCWDGUHPMXGX

not attested not anchored not stored refs pending

Dimension towers of SICs. I. Aligned SICs and embedded tight frames

Ingemar Bengtsson, Irina Dumitru, Marcus Appleby, Steven Flammia

arxiv:1707.09911 v1 · 2017-07-31 · quant-ph · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UYKBITOX57WPUOCWDGUHPMXGX}

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	2026-05-18T00:22:20.845142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed30a0a26ebf7f67d1c2b0cd43bd9735f736526ef3c86eba9b0c47b5ec934970

Aliases

arxiv: 1707.09911 · arxiv_version: 1707.09911v1 · doi: 10.48550/arxiv.1707.09911 · pith_short_12: 5UYKBITOX57W · pith_short_16: 5UYKBITOX57WPUOC · pith_short_8: 5UYKBITO

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/5UYKBITOX57WPUOCWDGUHPMXGX \
  | 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: ed30a0a26ebf7f67d1c2b0cd43bd9735f736526ef3c86eba9b0c47b5ec934970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b87fae8453dcb89007da1415e261f64f795052bf4391f5efbabfae3573c088f3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-07-31T15:08:55Z",
    "title_canon_sha256": "eba503a92bf5d24834b21dc2419483eb8e46d2c4d988adcef655717c07c76ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09911",
    "kind": "arxiv",
    "version": 1
  }
}