Pith Number

pith:LK3XGQIJ

pith:2015:LK3XGQIJXNAVHZLXWH3GVBML3C

not attested not anchored not stored refs pending

Visualization in teaching and learning mathematics in elementary, secondary and higher education

Bojan Banjac, Branko Malesevic, Ivana Jovovic

arxiv:1511.07087 v1 · 2015-11-22 · cs.CY · cs.SC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LK3XGQIJXNAVHZLXWH3GVBML3C}

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	2026-07-05T00:11:28.713536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ab7734109bb4153e577b1f66a858bd897a0f7c94b9fcea521d75fbe67da0f23

Aliases

arxiv: 1511.07087 · arxiv_version: 1511.07087v1 · doi: 10.48550/arxiv.1511.07087 · pith_short_12: LK3XGQIJXNAV · pith_short_16: LK3XGQIJXNAVHZLX · pith_short_8: LK3XGQIJ

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/LK3XGQIJXNAVHZLXWH3GVBML3C \
  | 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: 5ab7734109bb4153e577b1f66a858bd897a0f7c94b9fcea521d75fbe67da0f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77b769fe22570f9817ec036d427849a3c655a409a2347422f2963bf9bfc9ac41",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CY",
    "submitted_at": "2015-11-22T23:38:14Z",
    "title_canon_sha256": "8c6e70dda016b8fa7cfd701ca7e4bffdd2725d832879eba63c17de591ecadca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07087",
    "kind": "arxiv",
    "version": 1
  }
}