Pith Number

pith:RV45YKUJ

pith:2008:RV45YKUJOSK46L4EFDR4TDCDBH

not attested not anchored not stored refs pending

The Uniqueness Problem of Sequence Product on Operator Effect Algebra $\varepsilon (H)$

Liu Weihua, Wu Junde

arxiv:0812.0630 v3 · 2008-12-03 · math-ph · math.MP · math.OA · math.QA · 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{RV45YKUJOSK46L4EFDR4TDCDBH}

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	2026-05-18T00:31:00.836981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d79dc2a897495cf2f8428e3c98c4309c6f2770ee6c312840592d2d66585c5e9

Aliases

arxiv: 0812.0630 · arxiv_version: 0812.0630v3 · doi: 10.48550/arxiv.0812.0630 · pith_short_12: RV45YKUJOSK4 · pith_short_16: RV45YKUJOSK46L4E · pith_short_8: RV45YKUJ

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/RV45YKUJOSK46L4EFDR4TDCDBH \
  | 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: 8d79dc2a897495cf2f8428e3c98c4309c6f2770ee6c312840592d2d66585c5e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "459cd3a2f895dc39c20101411327f4b6daa76a5e7a1b407cf37caddf804c0256",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA",
      "math.QA",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-12-03T01:28:15Z",
    "title_canon_sha256": "285a047fab56f32375cb6a7eeb4f452cc9fd6503cadca92284baf2c42d428626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0630",
    "kind": "arxiv",
    "version": 3
  }
}