Pith Number

pith:Z7GRKYQZ

pith:2026:Z7GRKYQZFMVN3C7NUEU7GZDAK5

not attested not anchored not stored refs pending

Communication Advantages from Quantum Dense Network Coding

Brian Doolittle, Ian George

arxiv:2607.08133 v1 · 2026-07-09 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7GRKYQZFMVN3C7NUEU7GZDAK5}

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	2026-07-10T01:19:27.532948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfcd1562192b2add8beda129f36460577cad63055ab1880785727cc03a223fcd

Aliases

arxiv: 2607.08133 · arxiv_version: 2607.08133v1 · doi: 10.48550/arxiv.2607.08133 · pith_short_12: Z7GRKYQZFMVN · pith_short_16: Z7GRKYQZFMVN3C7N · pith_short_8: Z7GRKYQZ

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/Z7GRKYQZFMVN3C7NUEU7GZDAK5 \
  | 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: cfcd1562192b2add8beda129f36460577cad63055ab1880785727cc03a223fcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30032221c99343ed99ca18b919e685b9741e4130fe68b1d86456f310854129b7",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-09T06:08:43Z",
    "title_canon_sha256": "3826d5560ae0c9e0fc6743364cd352394c4cac2ab0651e5978f6b29e4ff3fd32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08133",
    "kind": "arxiv",
    "version": 1
  }
}