Pith Number

pith:VKLNVENS

pith:2010:VKLNVENSI3L4TLUH6SXRRRQBHF

not attested not anchored not stored refs pending

Students' Responses To Different Representations Of A Vector Addition Question

Brian W. Frank, Eleanor C. Sayre, Jeffrey M. Hawkins, John R. Thompson, Michael C. Wittmann

arxiv:1008.0822 v2 · 2010-08-04 · 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{VKLNVENSI3L4TLUH6SXRRRQBHF}

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	2026-05-18T02:05:59.283659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa96da91b246d7c9ae87f4af18c601397e047fcf5e4c91890fe2f48452acc3fb

Aliases

arxiv: 1008.0822 · arxiv_version: 1008.0822v2 · doi: 10.48550/arxiv.1008.0822 · pith_short_12: VKLNVENSI3L4 · pith_short_16: VKLNVENSI3L4TLUH · pith_short_8: VKLNVENS

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/VKLNVENSI3L4TLUH6SXRRRQBHF \
  | 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: aa96da91b246d7c9ae87f4af18c601397e047fcf5e4c91890fe2f48452acc3fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ff0c008ed889a8461c9925ba2a647f2d9aa5a37d8b2937d7106e22860ec7779",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2010-08-04T17:00:06Z",
    "title_canon_sha256": "5b7ff73ef9042e72cb834db944eda7ffd9d763618f83acc688a3f729a5cb65c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0822",
    "kind": "arxiv",
    "version": 2
  }
}