Pith Number

pith:MEAY2SY6

pith:2023:MEAY2SY6ZDA4DIRH5MJWAHUDJL

not attested not anchored not stored refs pending

Projective toric designs, quantum state designs, and mutually unbiased bases

Adam Ehrenberg, Alexey V. Gorshkov, Joseph T. Iosue, T. C. Mooney

arxiv:2311.13479 v3 · 2023-11-22 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MEAY2SY6ZDA4DIRH5MJWAHUDJL}

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.

Cited by

1 paper in Pith

A construction of spherical $5$-designs with $O(d^2)$ points

Receipt and verification

First computed	2026-07-05T09:45:42.044830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61018d4b1ec8c1c1a227eb13601e834af9459cee7cb12476821c3108a2549ed1

Aliases

arxiv: 2311.13479 · arxiv_version: 2311.13479v3 · doi: 10.48550/arxiv.2311.13479 · pith_short_12: MEAY2SY6ZDA4 · pith_short_16: MEAY2SY6ZDA4DIRH · pith_short_8: MEAY2SY6

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/MEAY2SY6ZDA4DIRH5MJWAHUDJL \
  | 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: 61018d4b1ec8c1c1a227eb13601e834af9459cee7cb12476821c3108a2549ed1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9612078d1e23b5cf352be86b248533c665f2a232c8317702456209e59ed2c9b3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-11-22T15:48:39Z",
    "title_canon_sha256": "fce86add2a7d5ffffdc03c87f823328648f50e39bc4c70070d5e519b6f5ceb9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.13479",
    "kind": "arxiv",
    "version": 3
  }
}