Pith Number

pith:4LD6D2US

pith:2003:4LD6D2USVRY4VOQ36XMXJY57DU

not attested not anchored not stored refs pending

Quantum Key Distribution Using Equiangular Spherical Codes

Joseph M. Renes

arxiv:quant-ph/0311106 v2 · 2003-11-17 · 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{4LD6D2USVRY4VOQ36XMXJY57DU}

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	2026-05-18T01:20:12.795490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2c7e1ea92ac71caba1bf5d974e3bf1d02d3bc678abb8a6f707974933d0d503f

Aliases

arxiv: quant-ph/0311106 · arxiv_version: quant-ph/0311106v2 · doi: 10.48550/arxiv.quant-ph/0311106 · pith_short_12: 4LD6D2USVRY4 · pith_short_16: 4LD6D2USVRY4VOQ3 · pith_short_8: 4LD6D2US

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/4LD6D2USVRY4VOQ36XMXJY57DU \
  | 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: e2c7e1ea92ac71caba1bf5d974e3bf1d02d3bc678abb8a6f707974933d0d503f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e3da83b823c8814a8767f7045fe03e8146e797cbc082c67a5e415009409243e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-11-17T17:21:59Z",
    "title_canon_sha256": "58992258217b630ba459312a431731894f5d705d4a26efe1af2b0240c6fc977e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0311106",
    "kind": "arxiv",
    "version": 2
  }
}