Pith Number

pith:6EYZYWCV

pith:2009:6EYZYWCV3GBHTV7MG4TKE36P3W

not attested not anchored not stored refs pending

On supremum of bounded quantum observable

Liu Weihua, Wu Junde

arxiv:0904.3954 v2 · 2009-04-25 · 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{6EYZYWCV3GBHTV7MG4TKE36P3W}

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	2026-05-18T01:03:44.839862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1319c5855d98279d7ec3726a26fcfdd993f0d9fba0d9b22016a683a92315b57

Aliases

arxiv: 0904.3954 · arxiv_version: 0904.3954v2 · doi: 10.48550/arxiv.0904.3954 · pith_short_12: 6EYZYWCV3GBH · pith_short_16: 6EYZYWCV3GBHTV7M · pith_short_8: 6EYZYWCV

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/6EYZYWCV3GBHTV7MG4TKE36P3W \
  | 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: f1319c5855d98279d7ec3726a26fcfdd993f0d9fba0d9b22016a683a92315b57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "491a9ac30758cec31231b1ae2f67dde5bb31840398329bfed965691f0abfd96b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-04-25T00:54:38Z",
    "title_canon_sha256": "4886928eb7d5bbdbe1908f1d80a5f1c0184e7abd67ef792da781f6b524c829f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3954",
    "kind": "arxiv",
    "version": 2
  }
}