Pith Number

pith:ISMU6TGL

pith:2009:ISMU6TGLUW2WMCKKWWXUN7PJ2W

not attested not anchored not stored refs pending

The average value inequality in sequential effect algebras

Shen Jun, Wu Junde

arxiv:0903.5115 v1 · 2009-03-30 · math-ph · math.LO · math.MP · 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{ISMU6TGLUW2WMCKKWWXUN7PJ2W}

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	2026-05-18T00:31:05.886162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44994f4ccba5b566094ab5af46fde9d58522328419072c63f22fce6c614ebc5c

Aliases

arxiv: 0903.5115 · arxiv_version: 0903.5115v1 · doi: 10.48550/arxiv.0903.5115 · pith_short_12: ISMU6TGLUW2W · pith_short_16: ISMU6TGLUW2WMCKK · pith_short_8: ISMU6TGL

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/ISMU6TGLUW2WMCKKWWXUN7PJ2W \
  | 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: 44994f4ccba5b566094ab5af46fde9d58522328419072c63f22fce6c614ebc5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4967def4cb12cae4102b5cfaf565a53e804aebc43fcfa61e9a470dbea8a8928f",
    "cross_cats_sorted": [
      "math.LO",
      "math.MP",
      "math.QA",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-03-30T02:46:40Z",
    "title_canon_sha256": "278fbccc7787f48c1d56677065d19e70f6fb0f99c2d890ff49c2d18c262913fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5115",
    "kind": "arxiv",
    "version": 1
  }
}