Pith Number

pith:CILPSMDN

pith:2014:CILPSMDN6DTTASXEPGPFYVQ6A7

not attested not anchored not stored refs pending

Structure of the sets of mutually unbiased bases with cyclic symmetry

Gerd Leuchs, Luis L. Sanchez-Soto, Ulrich Seyfarth

arxiv:1404.3035 v1 · 2014-04-11 · 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{CILPSMDN6DTTASXEPGPFYVQ6A7}

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	2026-05-18T01:43:35.458705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1216f9306df0e7304ae4799e5c561e07d684899a0f50f61bafdad4e5ef6a838b

Aliases

arxiv: 1404.3035 · arxiv_version: 1404.3035v1 · doi: 10.48550/arxiv.1404.3035 · pith_short_12: CILPSMDN6DTT · pith_short_16: CILPSMDN6DTTASXE · pith_short_8: CILPSMDN

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/CILPSMDN6DTTASXEPGPFYVQ6A7 \
  | 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: 1216f9306df0e7304ae4799e5c561e07d684899a0f50f61bafdad4e5ef6a838b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf63827d5e3da2aebbc7fa6d4a09e86ba9b88d49dd6d6a547ac67198fb373079",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-04-11T08:51:51Z",
    "title_canon_sha256": "fbf3992111c28b2dc4d6f0c85994aade265254a0c120a07644f203a701648f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3035",
    "kind": "arxiv",
    "version": 1
  }
}