Pith Number

pith:EVRCUL2S

pith:2004:EVRCUL2SCPHJ7MNK7VKSVDPWQF

not attested not anchored not stored refs pending

Equiangular Spherical Codes in Quantum Cryptography

Joseph M. Renes

arxiv:quant-ph/0409043 v1 · 2004-09-08 · 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{EVRCUL2SCPHJ7MNK7VKSVDPWQF}

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

Quantum randomness beyond projective measurements

Receipt and verification

First computed	2026-07-05T03:18:36.788937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25622a2f5213ce9fb1aafd552a8df681785eec3725017201e27a90c4cd4381b2

Aliases

arxiv: quant-ph/0409043 · arxiv_version: quant-ph/0409043v1 · doi: 10.48550/arxiv.quant-ph/0409043 · pith_short_12: EVRCUL2SCPHJ · pith_short_16: EVRCUL2SCPHJ7MNK · pith_short_8: EVRCUL2S

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/EVRCUL2SCPHJ7MNK7VKSVDPWQF \
  | 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: 25622a2f5213ce9fb1aafd552a8df681785eec3725017201e27a90c4cd4381b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cee4cfeb7b99df12b6b124c023724efccde58171ee3b2cb716ca91801d6ccd7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-09-08T15:19:24Z",
    "title_canon_sha256": "ece7e25961a35866cdd38073a168d3df1579980807161ff19a334a14d9df42ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0409043",
    "kind": "arxiv",
    "version": 1
  }
}