Pith Number

pith:PMRNGRQW

pith:2015:PMRNGRQW43AOK4UXOP2R2NN556

not attested not anchored not stored refs pending

Analogous Patterns of Student Reasoning Difficulties in Introductory Physics and Upper-Level Quantum Mechanics

Chandralekha Singh, Emily Marshman

arxiv:1510.01295 v1 · 2015-10-05 · 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{PMRNGRQW43AOK4UXOP2R2NN556}

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	2026-05-18T01:20:29.226073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b22d34616e6c0e5729773f51d35bdefba4dac25c79978dcac9b314d04d182b5

Aliases

arxiv: 1510.01295 · arxiv_version: 1510.01295v1 · doi: 10.48550/arxiv.1510.01295 · pith_short_12: PMRNGRQW43AO · pith_short_16: PMRNGRQW43AOK4UX · pith_short_8: PMRNGRQW

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/PMRNGRQW43AOK4UXOP2R2NN556 \
  | 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: 7b22d34616e6c0e5729773f51d35bdefba4dac25c79978dcac9b314d04d182b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31732137ba2ec7d641e026c022dd6ecd0d4331ea5ead41ad6821ed9d3ce5b8f2",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2015-10-05T19:29:44Z",
    "title_canon_sha256": "db2ded2ed0bb2c07889920a26ec25918ea0b21dd9c770bc2c63eb20bb3d07877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01295",
    "kind": "arxiv",
    "version": 1
  }
}