Pith Number

pith:RWZ65QQK

pith:2017:RWZ65QQKIZLCS4SJRIMA6B5ZJV

not attested not anchored not stored refs pending

Entropy on Spin Factors

Peter Harremo\"es

arxiv:1707.03222 v2 · 2017-07-11 · math-ph · math.MP · 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{RWZ65QQKIZLCS4SJRIMA6B5ZJV}

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	2026-05-18T00:16:50.670372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8db3eec20a46562972498a180f07b94d4e86dd76433525e7ebbd9f75b476a142

Aliases

arxiv: 1707.03222 · arxiv_version: 1707.03222v2 · doi: 10.48550/arxiv.1707.03222 · pith_short_12: RWZ65QQKIZLC · pith_short_16: RWZ65QQKIZLCS4SJ · pith_short_8: RWZ65QQK

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/RWZ65QQKIZLCS4SJRIMA6B5ZJV \
  | 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: 8db3eec20a46562972498a180f07b94d4e86dd76433525e7ebbd9f75b476a142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e8bfd819882b0f5d601547e01fe57403fd6f0af9715a0e14082b89cb80463ef",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-07-11T11:28:24Z",
    "title_canon_sha256": "cb0a6c14c95793e13a08376982d0a9c7c0e05b5ec2c6c9ee68ab3326390ce5c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03222",
    "kind": "arxiv",
    "version": 2
  }
}