Pith Number

pith:LEAWBT5X

pith:2009:LEAWBT5XZBQ553ICBAEUQODZYQ

not attested not anchored not stored refs pending

Generalized quantum operations and almost sharp quantum effects

Shen Jun, Wu Junde

arxiv:0907.2003 v1 · 2009-07-12 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEAWBT5XZBQ553ICBAEUQODZYQ}

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	2026-05-18T00:31:05.847903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

590160cfb7c861deed020809483879c4304079c3e4e9b5da8015f7900daae2fc

Aliases

arxiv: 0907.2003 · arxiv_version: 0907.2003v1 · doi: 10.48550/arxiv.0907.2003 · pith_short_12: LEAWBT5XZBQ5 · pith_short_16: LEAWBT5XZBQ553IC · pith_short_8: LEAWBT5X

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/LEAWBT5XZBQ553ICBAEUQODZYQ \
  | 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: 590160cfb7c861deed020809483879c4304079c3e4e9b5da8015f7900daae2fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f44a0fa38af0cd385b3c6d57f544bead3c6e0a5ac3eee7e0016054a77673903d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-07-12T04:03:41Z",
    "title_canon_sha256": "eb0a26976b3b3ccfb421b262fcec7220636a5b566e7b6a86d88d31ce88a49a1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2003",
    "kind": "arxiv",
    "version": 1
  }
}