Pith Number

pith:XJGWIUPE

pith:2015:XJGWIUPEXAPIEFDZZ3NPJFAYZJ

not attested not anchored not stored refs pending

Student facility with ratio and proportion: Mapping the reasoning space in introductory physics

Andrew Boudreaux, Stephen Kanim, Suzanne Brahmia

arxiv:1511.08960 v1 · 2015-11-29 · physics.ed-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{XJGWIUPEXAPIEFDZZ3NPJFAYZJ}

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	2026-05-18T01:25:45.977256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba4d6451e4b81e821479cedaf49418ca69a018511ab86fffbbbc0dd88c2a5d99

Aliases

arxiv: 1511.08960 · arxiv_version: 1511.08960v1 · doi: 10.48550/arxiv.1511.08960 · pith_short_12: XJGWIUPEXAPI · pith_short_16: XJGWIUPEXAPIEFDZ · pith_short_8: XJGWIUPE

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/XJGWIUPEXAPIEFDZZ3NPJFAYZJ \
  | 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: ba4d6451e4b81e821479cedaf49418ca69a018511ab86fffbbbc0dd88c2a5d99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d53cf6c06e4f6559931f5b9d211d003747a29fb9cd99ccf46cca62315ee2c1b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2015-11-29T02:31:08Z",
    "title_canon_sha256": "2ffbcbcda66124e67167b0627d1376f2c937659e8e3569d1d3ab384724233c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08960",
    "kind": "arxiv",
    "version": 1
  }
}