Pith Number

pith:CII6J63Y

pith:2015:CII6J63YUHL4GD6Y2SGWVHBIEJ

not attested not anchored not stored refs pending

Student difficulties with the probability distribution for measuring energy and position in quantum mechanics

Chandralekha Singh, Emily Marshman

arxiv:1509.04081 v1 · 2015-09-14 · physics.ed-ph · 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{CII6J63YUHL4GD6Y2SGWVHBIEJ}

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	2026-05-18T01:20:29.327609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1211e4fb78a1d7c30fd8d48d6a9c28227c006a0a33e05aabf7ca6d4ed7e78709

Aliases

arxiv: 1509.04081 · arxiv_version: 1509.04081v1 · doi: 10.48550/arxiv.1509.04081 · pith_short_12: CII6J63YUHL4 · pith_short_16: CII6J63YUHL4GD6Y · pith_short_8: CII6J63Y

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/CII6J63YUHL4GD6Y2SGWVHBIEJ \
  | 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: 1211e4fb78a1d7c30fd8d48d6a9c28227c006a0a33e05aabf7ca6d4ed7e78709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e98c1a15228a9aae74a4dcdca9f5aa5ff3d33decfc4b5f6a44f20a70cfe9ef5",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2015-09-14T13:19:15Z",
    "title_canon_sha256": "87aea0b633a3b7f1d8207d742abf24eea4820514789813f348f038da173864f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04081",
    "kind": "arxiv",
    "version": 1
  }
}