Pith Number

pith:GCD2E6HJ

pith:2010:GCD2E6HJGHTPDXZ74364RVMONM

not attested not anchored not stored refs pending

Phase groups and the origin of non-locality for qubits

Bill Edwards, Bob Coecke, Robert W. Spekkens

arxiv:1003.5005 v1 · 2010-03-25 · quant-ph · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCD2E6HJGHTPDXZ74364RVMONM}

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	2026-05-18T02:24:26.609963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3087a278e931e6f1df3fe6fdc8d58e6b0816f1213dc5e04c1c5d4e150054167f

Aliases

arxiv: 1003.5005 · arxiv_version: 1003.5005v1 · doi: 10.48550/arxiv.1003.5005 · pith_short_12: GCD2E6HJGHTP · pith_short_16: GCD2E6HJGHTPDXZ7 · pith_short_8: GCD2E6HJ

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/GCD2E6HJGHTPDXZ74364RVMONM \
  | 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: 3087a278e931e6f1df3fe6fdc8d58e6b0816f1213dc5e04c1c5d4e150054167f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "190f3b911825d59628abf47f6e9ae28f2ea7b28437ac3acc45b9b4dc1c522db1",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-03-25T21:21:04Z",
    "title_canon_sha256": "19d09f2b17ae8077ec033b94b5e9808a77f3c4d5027c1c42828d1b0aa1394cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5005",
    "kind": "arxiv",
    "version": 1
  }
}