Pith Number

pith:X27TUBLD

pith:2022:X27TUBLDDKCR2UMX6M3NKM5RWV

not attested not anchored not stored refs pending

Probability density functions of quantum mechanical observable uncertainties

Jiamei Wang, Jinping Huang, Lin Zhang, Shao-Ming Fei

arxiv:2205.03193 v1 · 2022-05-06 · quant-ph · 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{X27TUBLDDKCR2UMX6M3NKM5RWV}

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	2026-07-05T04:42:19.047999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bebf3a05631a851d5197f336d533b1b54aaeb8bfe2eb3007c5b8bb5940e57673

Aliases

arxiv: 2205.03193 · arxiv_version: 2205.03193v1 · doi: 10.48550/arxiv.2205.03193 · pith_short_12: X27TUBLDDKCR · pith_short_16: X27TUBLDDKCR2UMX · pith_short_8: X27TUBLD

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/X27TUBLDDKCR2UMX6M3NKM5RWV \
  | 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: bebf3a05631a851d5197f336d533b1b54aaeb8bfe2eb3007c5b8bb5940e57673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beefab21d40f0d311f00ba52478724bf6be7d1f435d732049df7063a5b2fbc53",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-05-06T13:17:38Z",
    "title_canon_sha256": "8e42cb60c12801304a1fe06f36580db47aac619468958ab075b5ef14ab0dec23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.03193",
    "kind": "arxiv",
    "version": 1
  }
}